Professor Shahabaddin Ebrahimi Atani
Faculty: Faculty of Mathematical Sciences
Department: Department of Pure Mathematics
University of Guilan
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Professor Shahabaddin Ebrahimi Atani
Academic Rank:

Professor

Faculty:

Faculty of Mathematical Sciences

Department:

Department of Pure Mathematics



Profile :: Education :: Publications :: Courses :: CV :: Contact


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Ph.D. in Mathematics, (December 1996)

 

Department of Mathematics, The University of Manchester, England.

Thesis: "On indecomposable pure-injective modules over pullback rings".

 

M.Sc. in Mathematics, (September 1977)

 

Institute of Mathematics, Teacher Training University, Tehran, Iran.

 

B.Sc. in Mathematics, (September 1975)

 

Department of Mathematics, Tabriz University, Tabriz, Iran.



Articles:

 

Papers : (Published and in press)

                                                                                                      2017

                                                                                        

 

1) (with R. E. Atani and A. H. Karbasi), On semiprime comultiplication modules over pullback ring, Colloq. Math. 146 (2)  (2017), 197-211.

 

2) (with M. S. Sh. Bazari),  Absorbing multiplication modules over pullback rings, Inter. Electronic Journal of Algebrs, 21 (2017), 76-90.

 

3)  (with S,. Dolati Pish Hesari and M. Khoramdel), A graph associated to proper non-smal ideals of a commutative ring, Commentations Math. Universitatis Caroliae, 58 (1) (2017), 1-12.

 

4) (with S. Dolati Pish Hesari and M. Khoramdel), Corrigendum to: The ideal theory in quotients of commutative semirings, Glasnik Matematicki, to appear.

                                                                                                       

5) (with M. Khoramdel and S. Dolati Pish Hesari) Modules in which every surjective endomorphism has delta-small kernel, Algebra and Discrete Math., to appear.

 

6) (with M. khoramdel and S. Dolati Pish Hesari) Modules which are invariant under t-automorphisms of their injective hulls, Comm. in Algebra, to appear.

 

 

                                                                                                           2016

 

 

1 )  (with M. Khoramdel and S. Dolati Pish Hesari), C3-modules, Demonstratio Math., 49 (3) (2016), 282-292.

 

 2) (with M. Khoramdel and S. Dolati Pish Hesari),   Strongly t-Extending modules and Strongly t-Bear modules, International Electronic Journal of Algebra, 20 (2016), 86-99.                                                                                  

                                                                                 

 3) (with M. Khoramdel and S. Dolati Pish Hesari), T-Dual Rickart Modules, Bull. Iranian Math. Soc. 42 (3) (2016), 627-642.

                                                                               

 4) (with M. Sedghi Sh. Bazari) On  2-absorbing filters of lattices, Discuss. Math. Gen. Algebra and Appl., 36 (2) (2016), 157-168.                                                                     

 

 5) (with M. Khoramdel and S. Dolati Pish Hesari)  Modules in which every surjective endomorphism has a delta-small kernel, Algebra and Discrete Math., to appear.

 

6) (with M. Khoramdel and S. Dolati Pish Hesari) Modules which are invariant under t-automorphisms of their injective hulls, Comm. in Algebra, to appear.

                                                                                                             2015

 

1) (with S. Dolati Pish Hesari and M. Khoramdel), Total identity-summand graph of commutative semirings with respect to a co-ideal, J. Korean Math. Soc. 52(1) (2015), 159-176.

                                                                                          

2) (with S. Dolati Pish Hesari and M. Khoramdel), A co-ideal based identity-summand graph of a commutative semiring, Commentationes Mathematicae Universitatis Carolinae, 56 (3) (2015), 269-285.. 

 

3)  (with Z. E. Sarvandi), The total graph of a commutative semiring with respect to proper ideals, JART, 2015, 27-41.

 

4) (with Z. E. Sarvandi) An ideal-based delta-zero-divisor graph of  commutative rings, RCMMS, 5 (2) (2015), 105-119.

 

5) (with R. E. Atani and A. H. Karbasi), EEH: A GGH-Like Public Key Cryptosystem over the Eisenstein integers using Polynomial Representation, ISeCure, 7 (2015), 115-126..

                                                                                             

                                                                                        2014

 

1- (with S. Dolati Pish Hesari and M. Khoramdel), The Identity-summand graph of commutative semirings, Journal of the Korean Mathematical Society, 51 (1) (2014), 189-202.

 

2- (with S. Dolati Pish Hesari and M. Khoramdel) A fundamental theorem of co-homomorphisms for semirings, Thai J. Math., 12 (2) (2014), 491-497.

 

3-(with M. khoramdel and S. Dolati Pish Hesari), On strongly  extending modules, Kyungpook Math. J., 54  (2014),  237-247.

 

4-(with M. Shajari Kohan and Z. Ebrahimi Sarvandi), An ideal-based zero-divisor graph of direct products of commutative rings, Discuss. Math. Gen. Algebra and Appl., 34 (2014), 45-53.

 

5- (with S. Dolati Pish Hesari and M. Khoramdel), On delta-primary co-ideals of a commutative semiring, Quasigroups and Related Systems, 22 (1) (2014), 71-80.

 

6- (with D. F. Anderson, M. Shajari Kohan and Z. Ebrahimi Sarvandi), The ideal-based zero-divisor graph of commutative chained rings, Sara. J. Math,  22  (2014), 3-12.

 

7- (with S. Dolati Pish Hesari and M. Khoramdel), Primal strong co-ideals in semirings, JART, 2(1)  (2014), 1-14.

 

8- (with S. Dolati Pish Hesari and M. Khoramdel), Total graph of a commutative semiring with respect to identity-summand elements, J. Korean Math. Soc., 51 (3)  (2014), 593-607.

 

9- (with R. Ebrahimi Atani and A. Hassani K.), The filter theory in quotients of complete lattices, Quasigroups and Related Systems, 22 (2)  (2014), 209-216.

 

2013

1- (with R. Ebrahimi Atani) On semiprime multiplication modules over pullback rings, Comm. Algebra, 41(2)  (2013),776-791.

2- (with A. Gholamalipour) Ideals in quotient semirings, Chiang Mai J. Sci., 40(1) (2013), 77-82.                                                                                                                                 

3- (with F. Esmaeili Khalil Saraei) The total graph of a commutative semiring, An. Univ. Ovidius Constanta, 21(2) (2013), 21-33.

 

4- (with S. Dolati Pish Hesari and M. Khoramdel) Strong Co-ideal Theory in Quotients of Semirings, JARPM, 5(3) (2013), 19-32.

 

5- (with GÜLSEN ULUCAK, AND ÜNSAL TEKIR ) The Zariski topology on semimodules, JARPM, 5(4) (2013), 80-90.

 

 6- (with S. Dolati Pish Hesari and M. Khoramdel)  Zariski-topology for co-ideals of commutative semirings, Quasigroups and Related Systems, 21 (1)  (2013), 59-68.

 

 7- (with F. Esmaeili Khlil Saraei) The total torsion element graph of semimodules over commutative semirings, Algebra and Discrete Mathematics,  16(1), 2013, 1-15.
 

 

8- (with S. D. Pish Hesari and M. Khoramdel), SOME REMARKS ON PRUFER MODULES, Discussiones Mathematicae -
General Algebra and Applications, 33 (2013), 121-128.

 

9- (with Z. Ebrahimi Sarvandi and M. Shajari Kohan), On delta-primary ideals of commutative semirings, Romanian J. of Math. and Computer Science 3(1)  (2013), 71-81.

 

 

 

  ============================== 2012 =============================

 1- (with R. Ebrahimi Atani), A Zariski topology for K-semirings, Quasigroups and related systems, 20(1) (2012), 29-36.

 

2- (with F. Esmaeili) On P-torsion modules over a pullback of two Dedekind domains, Georgian Math. Journal,  19(3) (2012), 473-488.

 

3- (with M. Khoramdel and S. Dolati Pish Hesari) T-rickart modules, colloquium Mathematicum  128(1)  (2012), 87-100.

 

 

============================== 2011 =============================

1- (with R. Ebrahimi Atani) "On DPA-Resistive Implementation of FSR-based Stream Ciphers using WDDL Logic Styles",  International Journal on Communications Antenna and Propagation (IRECAP), Vol. 1, No. 1, (2011), Pages: 83-91.

2- (with R. Ebrahimi Atani) Graded multiplication modules and the ideal   heta_{g} (M), Turkish Journal of Mathematics,  35  (2011), 1-9.

3- (with A. Yousefian Darani and E. Puczylowski) "On the diameter and girth of ideal-based zero-divisor graph, Publicationes Mathematicae Debrecen, 78/ 3 - 4 (2011), 607-612.

4- (with M. Sh. Kohan), On L-ideal based L-zero-divisor graphs, Discussiones Mathematicae - General Algebra and Applications, 31(2) (2011), 127-145.

5 -(with S. Habibi) The total torsion elements graph of a module over a commutative ring, An. St. Univ. Ovidius Constanta, 19(1) (2011), 23-34.

6- (with R. Ebrahimi Atani) On primarily multiplication modules over pullback rings, Algebra and Discrete Mathematics, 11 (2011), 1-17.

7- (with A. Yousefian Darani) On Graded primal ideals, Georgian Mathematical Journal, 18(3) (2011), 481-488.

8- (with M. Sh. Kohan) L-zero-divisor graphs of direct products of L-commutative rings, Discussiones Mathematicae - General Algebra and Applications, 31(2) (2011), 159-174.

9- (with R. Ebrahimi Atani and U. Tekir) A Zariski topology for semimodules, EJPAM, 4(3) (2011), 251-265.

10- (with R. Ebrahimi Atani), On Strong Q_{R}-ideals of Commutative Semirings, JARPM 3(4) (2011), 75-84.

11- (with F. Esmaeili) On coatomic semimodules over commutative semirings, Cankaya University Journal of Science and Engineering, 8(2) (2011), 189-200.


12- (with Yousefian Darani), Zero-divisor graphs with respect to ideals in non-commutative rings, ISRN Discrete Mathematics, to appear.

13- (with R. Ebrahimi Atani), Spectra of semimodules, Bull. Aca. Rep. Mol.,  67(3) (2011), 15-28.



============================== 2010=============================

1- (with  F. Esmaeili ) Indecomposable  primarily comultiplication modules over pullback of  two Dedekind domains, Colloquium Mathematicum,  120  (2010),  23-42.

2- (with R. Ebrahimi Atani)  Some remarks on partitioning semirings, An. St. Univ. Ovidius Constanta, 18(1) (2010), 49-62.

3- (with R. Ebrahimi Atani) Very Strong multiplication ideals and the ideal heta (I) over a commutative semiring, Glasnik Matematicki, 45 (2) (2010), 395-406.

4- (with   F. Esmaeili )  A note on finitely generated secondary modules, J.  of Math. Sci.: Advances and Application, 4(2) (2010), 349-358.

5- (with M. S. Kohan)   A note on finitely generated multiplication semimodules  over a commutative semiring, Inter. J. Algebra, 4(8) (2010), 389-396.

6- (With F. Esmaeili) Graded modules which satisfy the Gr- radical formula, Thai. Journal of Math, 8(1) (2010), 161-170.

7- (with R. Ebrahimi Atani) On subsemimodules of semimodules,  to  Bul. Acad. Ştiinţe Repub. Mold. Mat., 2 (2010), 20-30.

 

============================== 2009 =============================

1-(with R. Ebrahimi Atani) Comultiplication modules over a pullback of Dedekind domains, Czechoslovak Mathematical Journal, 59(4) (2009), 1103-1114.

2- (with F. Farzalipour) Weak multiplication modules over a pullback of Dedekind domains, Colloquium Mathematicum, 114 (2009), 99-112.

3- (with A. Y. Darani) Primal submodules of multiplication modules, Tamkang Journal of Mathematics, 40(1)  (2009), 15-18.

4- An ideal-based zero-divisor graph of a commutative semiring, Glasnik Matematicki, , 44(1)  (2009), 141-153.

5- (with A. Y. Darani) Zero-divisor graphs with respect to primal and weakly primal ideals, J. of the Korean Math. Soc.,  46(2) (2009), 313-325.

6- (with F. Farzalipour) Zero-divisor graphs of idealizations with respect to modules, Chiang Mai J. Sci.,  36 (1) (2009), 5-8.

7-  (with A. Y. Darani)  Weakly primal submodules, Tamkang Mathematics, 3  (2009), 239-245.

8- (with R. Ebrahimi Atani) Weak Comultiplication Modules Over a Pullback of   Commutative   Local  Dedekind  Domains” , Algebra and Discrete Mathematics,  1 (2009), 1-13.

 

 ============================== 2008 =============================

1- Indecomposable weak multiplication modules over Dedekind domains, Demonstratio Mathematica, VLI 41(1) (2008), 33-43.

2- On primal and weakly primal ideals over commutative semirings, Glasnik Matematicki, 43(63) (2008), 13-23

 3- (with A. Y. Darani) Some remarks on the primal submodules, Sarajevo Journal of Mathematics, 4(17), (2008), 181-190.

4- (with R. Ebrahimi Atani) , Secondary representation of semimodules over a commutative semiring., Quasigroups and related systems,  16 (2008), 147-154.

5- The zero-divisor graph with respect to ideals of a commutative semirings, Glasnik Matematicki, 43 (63) (2008), 309-320

6- (with R. Ebrahimi Atani) Ideal theory in commutative semirings,  Bul. Acad. Ştiinţe Repub. Mold. Mat (57), 2008, ISSN 1024-7696, Pages 14-23.

7- (with R. Ebrahimi Atani and S. Mirzakuchaki) Public key cryptography using semigroup actions and semirings, Journal of Discrete Mathematical Sciences and cryptography, 11(4) (2008). 437-445.

8- (with R. Ebrahimi atani, Willi Meier and S. Mirzakuchaki), Design and Implementation of DPA Resistive Grain-128 Stream cipher Based on SABL Logic, International Journal of Computers, Communications and Control, ISSN 1841-9836, E-ISSN 1841-9844, Vol III (2008), Suppl. issue: Proceeding of ICCCC 2008. pp. 293-298.

9- (with A. Y. Darani) Notes on the primal submodules, Chiang Mai J. of Science, 35(3) (2008), 399-410.

10- (with R. Ebrahimi atani, S. Mirzakuchaki, and Willi Meier), On DPA-Resistive Implementation of FSR-based Stream Ciphers using SABL Logic Styles, International Journal of Computers, Communications and Control, ISSN 1841-9836, E-ISSN 1841-9844, Vol III (2008), Number 4, pp. 324-335.

11- (With R. Ebrahimi Atani) A Note On Uniformly Primary Submodules, Navi Sad Journal of Mathematics. 38(2) (2008), 83-89.

12-(with F. Esmaeili Khlil Saraei) On generalized distinguished prime submodules, Thai J. of Math., 6(2) (2008), 369-376.

 

 ============================== 2007 =============================

1- (with M. Shajari) The diameter of a zero-divisor graph for a finite direct product of commutative rings, Sarajevo Journal of Mathematics, 3(16) (2007), 149-156.

2- (with F. Farzalipour) On graded secondary modules, Turkish J. of Math., 31 (2007), 371-378.

3- (wit F. Esmaeli) On MacCasland submodules, Int. Math. Forum, 2(46) (2007), 2255-2260.

4- (with Unsal Tiker) On the graded primary avoidance theorem, Chiang Mai J., Sci., 34(2) (2007), 161-164.

5- The ideal theory in quotients of commutative semirings, Glasnik Matematicki. 42 (2007), 301-308.

6- k-weakly primary ideals over semirings, Sarajevo Journal of Mathematics, 3(15) (2007), 9-13.

7- (with F. Esmaeili) Modules which satisfy the radical formula, Int. J. Contemp. Math. Sci., 2( 2007), 13-18.

8- (with F. Farzalipour) On weakly prime submodules, Tamkang Journal of Mathematics, 38 (2007), 247-252.

9- (with A. Y. Darani) On weakly primal ideals (I), Demonstratio Mathematica, (1) (2007), 23-32.

10- (with F. Callialp and U. Tekir) A short note on the primary submodules of multiplication modules, International Journal of Algebra, 1(8) (2007), 381-384.

11- (with R. Ebrahimi Atani and S. Mirzakuchaki), Public key cryptography based on semimodule over quotient semirings, Inter, Math. Forum, 2(52) (2007), 2561-2570.

12- (with Z. Ebrahimi Sarvandi), Zero-divisor graph of idealizations with respect to prime modules, .Int. J. Contemp. Math. Sci., 26(2007), 1279-1283.

 

============================== 2006 =============================

1- (with Unsal Tiker) On the primary avoidance theorem for modules over commutative rings, Inter. J. of pure and appli. Math., 31(2) (2006), 203-207.

2- (with A. Y. Darani) On quasi-primary submodules, Chiang Mai Journal of Scinence, 33(3) (2006), 249-254

3- (with F. Farzalipour) Notes on the grded prime submodules, Intr. Math. Forum, 38 (2006), 1871-1880.

4- (with A. Y. Darani) On primal ideals over semi-groups, Quasigroups and related systems, to appear (2006)

5- On graded weakly prime ideals, Turkish J. of Math, 30(2006), 351-358.

6- (with Sang Cheol Lee) Multiplication modules over pullback rings (I), Honam Math. J., 28(1) (2006), 69-81.

7- (with S. Khojasteh) On multiplication modules, Intr. Math. Forum, no. 24(2006), 1175-1180.

8- On graded prime submodules, Chiang Mai Journal of Scinence, 33(1) (2006), 3-7.

9- On graded weakly prime submodules, Intr. Math. Forum, no. 2(2006), 61-66.

 

============================== 2005 =============================

1- On graded weakly primary ideals, Quasigroups and related systems, 13(2005), 185-191.

2- (with F. Farzalipour) On weakly primary ideals, Georgian Mathematical Journal , 12 (2005). 423-429.

3- Submodules of multiplication modules, Taiwanese Journal of Mathematics, 9(3) (2005), 358-369.

4- Strongly irreducible submodules, Bulletin of the Korean Mathematical Society, 42(1) (2005), 121 - 131.

5- with F. Farzalipour) On prime and primary submodules, Chiang Mai Journal of Scinence, 32(1) (2005), 5 - 9.

6- The product of multiplication submodules, Honam Math. Journal, 27-1 (2005), 1-8

7- On representable modules, Chiang Mai Journal of Scinence, 32(2) (2005), 93-96.

 

======================== 2004 ========================

1- On prime modules over pullback rings, Czechoslovak Mathematical Journal, 54(3) (2004), 781-789.

2- Multiplication modules and related modules, Archivum Mathematicum, 4 (2004) 407- 414.

   

========================== 2003 =========================

1- On  Non-separated coprimary modules, FJMS, 9(2) (2003), 197-202.

2- Pure submodules and attached primes, Inter. Math. J., 4(1) (2003), 53-56.

3- Multiplication modules over pullback rings, Inter. Math. J. 3(10),(2003), 1029-1032.

4- On modules and idealization, Inter. Math. J., 3  (2003), 705-709.

 

  ============================== 2002 =============================

1- On secondary modules over pullback rings, Comm. in Algebra, 30(6) (2002), 2675-2685.

2- Some remarks on coprimary modules, FJMS, 7(3) (2002), 301-309.

3- Submodules of secondary modules, Inter. J. of Math. and Mathematical Sciences, 31(6) (2002), 321-327.

 

============================== 2001 =============================

1- On indecomposable separated secondary modules over ZG, Southeast Asain Bulletin of Mathematics, 25(2) (2001), 383-388.

2- On secondary modules over dedekind domains , Southeast Asain Bulletin of Mathematics, 25(1) (2001), 1-6.

 

============================== 2000 =============================

1- On pure-injective modules over pullback rings, Comm. in Algebra, 28(9) (2000), 4037-4069.

2- I-torsion-free modules over pullback rings, Honam Math. Journal, 22 (2000), 1-7.

 

============================== 1999 =============================

1- Modules over associated graded rings , Honam Math. Journal, 21 (1999), 13-18.

 

Recent Conference Papers:

 

1- (with R. Ebrahimi Atani, , M. Baboli, S. Mirzakuchaki and B. Zamanlooy), "Design and Implementation of a 118 MHz 2D DCT Processor", IEEE International Symposium on Industrial Electronics - ISIE"08, 30 June-2 July, 2008, Cambridge, UK.

 

2- (with R. Ebrahimi Atani, Willi Meier and S. Mirzakuchaki) "Design and Implementation of DPA Resistive Grain-128 Stream Cipher Based on SABL Logic", 2nd IEEE International Conference on Computers, Communications & Control - ICCCC"08, 15-17 May, 2008, Flix Spa, Romania.

 

3- (with R. Ebrahimi Atani and S. Mirzakuchaki) "Design and Implementation of an Image CoProcessor", Third International Conference on Image and Signal Processing ICISP 2008, LNCS  Vol. 5099 Springer-Verlag book chapter. 1-3 July, 2008, Cherbourg-Octeville, Normandy, France.

 

4- (with R. Ebrahimi Atani, S. Mirzakuchaki and Willi Meier), "Design and Simulation of a DPA Resistive Circuit for Trivium Stream Cipher Based on SABL Logic Styles", 15th IEEE Conference in Mixed Design of Integrated Circuits and Systems MixDes"08, 19-21 June, 2008, Poznań, Poland.

 

 5- (with R. Ebrahimi Atani, S. Mirzakuchaki), "Design and simulation of A DPA Resistive Circuit for Trivium Stream Cipher Based on WDDL logic Styles", To appear in the proceeding of the Third INTERNATIONAL CONFERENCE ON MODELING, SIMULATION AND APPLIED OPTIMIZATION ,ICMSAO"09, Jan. 20-22 2009 , Sharjah, U.A.I.

 

6- (with R. Ebrahimi Atani, S. Mirzakuchaki), "Differential power analysis attack on A5/1 stream cipher", To appear in the proceeding of the Third INTERNATIONAL CONFERENCE ON MODELING, SIMULATION AND APPLIED OPTIMIZATION ICMSAO"09, Jan. 20-22 2009 , Sharjah, U.A.I.

 

7- (with R. Ebrahimi Atani, S. Mirzakuchaki), "Low Cost Implementation of Pomaranch S-Box", To appear in the proceeding of the Wireless VITAE"09, May. 17-20 2009 , Denmark.

 

8- (with R. Ebrahimi Atani, S. Mirzakuchaki), "Alamout: A new Synchronous stream cipher with Authentication", To appear in the proceeding of the Wireless VITAE"09, May. 17-20 2009 , Denmark.

 

 

 

Papers: (Submitted)

 

 

 Research:

 

 

Areas of Intrest:


Module theory: Modules over pullback rings and Pure-injective modules, Zero-divisor graphs, semiring theory and cryptography.

 

Advisory for Post Graduate Programs:


Current Ph.d students:

 

 

 
M. Sedghi Shanbeh Bazari

 

A. Hassani Karbasi

 

 

Graduated students:

 

Ph.d Thesis:

 

1- A. Yousefian Darani, February 2008, University of Guilan.

Thesis title: "Primal and weakly primal submodules and related results"

2- F. Farzalipour, June 2009, University of Guilan.

Thesis title: "Prime and weakly prime submodules and related results"

3- R. Ebrahimi Atani (jointly with Prof.  S. Mirzakuchaki), May 2010,  Iran University of Science and Technology

Thesis title: "Design and implementation of a stream cipher for mobile communication"

 

4- F. Esmaeili  Khalil Saraei, September 2012, University of Guilan.

 

 Thesis title: Modules over pullback rings and some properties of prime submodules.

 

5- M. Khoramdel, September 2015, University of Guilan

 

Thesis title: Baer and Rickart modules and some remarks on semirings

 

6- S. Dolati Phish Hesari, November 2015, University of Guilan.

 

Thesis title: The identity-summand graph of commutative semirings and some results on extending modules.

 

7- Z. Ebrahimi Sarvandi, September 2016, University of Guilan, University Campus 2.

 

Thesis title: Connectivity of graphs of rings and lattices.

M.Sc. Thesis:

 

1- A. Metani, Modules over pullback ring and subdirect sums, 1998, University of Guilan.

 

2- B. Amam verdi, Indecomposable pure-injective modules over commutative valuation rings, 1999, University of Guilan.

 

3- F. Hamzehpour, Indecomposable injective modules over pullback rings, 1999, University of Guilan.

 

4- A. Najafizadeh, sigma-injective moduls over left duo and left distributive rings, 2000, lUniversity of Guilan.

 

5- D. Sazabadiha, Chain conditions on direct summand and pure submodules, 2000, University of Guilan.

 

6- M. H. Nasr asfhani, On rings whose artinian modules are noetherian, 2001, University of Guilan.

 

7- A. Khaki, Unique subdirect sums of prime rings, 2001, University of Guilan.

 

8- S. Sajed, Von neumann regular rings, 2001, University of Guilan.

 

9- Y. A. aspily, On generalized GCD rings, 2002, University of Guilan.

 

10- A. Y. Darani, On multiplication modules, 2002, University of Guilan.

 

11- D. Abbas Karami, Attached prime ideals over non-commutative rings, 2003, University of Guilan.

 

12- S. Khojasteh, On locally pure-injective modules, 2003, University of Guilan.

 

13- F. Farzalipour, Prime and radical submodules of modules over commutative rings, 2004, University of Guilan.

 

14- P. S. Ghyasvand, Application of semirings and semigroups in cryptography, 2004, University of Guilan.

 

15- A. Golami, On weakly prime ideals, 2005, University of Guilan.

 

16- T. Roshani, Multiplication modules over non-commutative rings, 2005, University of Guilan.

 

17- F. Esmaeili, On prime submodules, 2006, University of Guilan.

 

18- S. Azimi, Pure submodules of multiplication modules, 2006, University of Guilan.

 

19- M. Shajari, Zero-divisor graphs for direct product of commutative rings, 2007, University of guilan.

 

20- Y. Hassani, Ideal theory in commutative semirings, 2007, University of Guilan.

 

21- Z. Ebrahimi Sarvandi, Zero-divisor graphs of idealizations, 2007, University Payame Noor (Kerman).

 

22- N. Nemati Mirmahaleh, Constraction and count of Boolean function of an  odd variables with maximum algebraic immunity, 2008, University of Guilan

 

23- A. Ramzanpoor Mardakhe, Algebraic Immunity Hierachy of Boolean functions, 2008, University of Guilan.

 

24- S. Zhmatkash A. Kikanlu,  On Uniformly Primary Ideals, 2009, University of Guilan.

 

25- K. Ebrahimi , On L-fuzzy prime submodules, 2009, University of Guilan.

 

26- R. Mahdizadeh Latreiy,  Additively divisable semirings and weak primary decomposition theorem for semiring,  2010 University of Guilan.

 

27- A. golamalipour,  Semirings of fractions with nilpotent elements,  2010,  University of Guilan.

 

28- H. Shiralizadeh Roshan ,  A radical theory for semirings,  2010,  University of Guilan.

 

29- M. Rahmati Selki Sari,  Generalization of prime  ideals in the rings,  2010,  University of Guilan.

 

30- H. Heydarinejad Astaneh, Factorization in integral domain without identity, 2011, University of Guilan.

 

31- T. Alipoor Tekamjani, On ZPI-ring without identity, 2011, University of Guilan.

 

32- L. Rafiee Sevyeri, An algenraic method for public-key cryptography, 2011, University of Guilan.

 

33- M. Ghane Somesaraei, Prime near-ring modules and their links with the generalized group-ring, 2012, University of Guilan.

 

34-S. Raminfar, On Armendariz semirings, 2012, University of Guilan.

 

35-R. Navidinia, Reduced multiplication modules, 2012, University of Guilan.

 

36- A. Hassani Karbasi, Key Pre-distribution for wireless sensor networks based on  combinatorial schemes, 2013, university of Guilan.

 

37- M. Ashoorzadeh Gorabsari, Baer and quasi-baer modules, 2013, University of Guilan.

 

38- Bahareh Moosavi Noori, Some properties of ideals in BCI-algebras, 2014, University of Guilan.

 

39- Yasser Mahdavi, Co-ideals theory in semirings, 2015, University of Guilan.



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contact Professor Shahabaddin Ebrahimi Atani
ebrahimi@guilan.ac.ir
Faculty of Science, Department of Mathematics,
Guilan University, P. O. Box 1914, Rasht, Iran.
Tel. : +98131 3233509.
Fax : +98131 3233509.
Email: ebrahimi@guilan.ac.ir   Login