Habibollah Ansari-Toroghy
Faculty: Faculty of Mathematical Sciences
Department: Department of Pure Mathematics
University of Guilan
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Habibollah Ansari-Toroghy
Academic Rank:

Professor

Faculty:

Faculty of Mathematical Sciences

Department:

Department of Pure Mathematics



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


 

Name: Habibollah Ansari-Toroghy

Date of Birth: March, 30, 1950

Nationality: Iranian

 

Scientific positions  

Jan 2003 to date:  Professor,  Department of Mathematics, University of Guilan.

March 1997 to Jan 2003:  Associate Professor,  Department of Mathematics, University of Guilan.

Oct 1990 to March 1997:  Assistant Professor, Department of Mathematics, University of Guilan.

 

 

 

 

Publications

 

 

[1]     H. Ansari-Toroghy and R. Y. Sharp, Asymptotic behaviour of ideals relative to injective modules over commutative Noetherian rings, Proceeding of the Edinburgh Mathematical Society 34 (1991), 155-160
[2]     H. Ansari-Toroghy and R. Y. Sharp, Integral closures of ideals relative to injective modules over commutative Noetherian rings, Quart. J. Math. Oxford (2) 42 (1991), 393-402
[3]     H. Ansari-Toroghy and R. Y. Sharp, Asymptotic behaviour of ideals relative to injective modules over commutative Noetherian rings II, Proceeding of the Edinburgh Mathematical Society 35 (1992), 511-518
[4]     H. Ansari-Toroghy, Associated and Coassociated primes, Communication in Algebra (2) 26 (1998), 453-466
[5]     H. Ansari-Toroghy, Injective prime avoidance property and related results, Southeast Asian Bulletin of Mathematics 23 (1999), 343-348
[6]     H. Ansari-Toroghy, Asymptotic behaviour of ideals relative to some modules over a commutative Noetherian ring, Honam Mathematical Journal (1) 23 (2001), 5-14
[7]     H. Ansari-Toroghy, M-injectivity and Asymptotic behaviour, Bulletin of the Korean Mathematical Society (2) 39 (2002), 251-258
[8]     H. Ansari-Toroghy, Analytic independence of an ideal relative to certain injective module over a commutative Noetherian ring, Southeast Asian Bulletin of Mathematics 25 (2002), 571-576
[9]     H. Ansari-Toroghy, Asymptotic stability of some sequences related to integral closure, Honam Mathematical Journal (1) 24 (2002), 1-8
[10] H. Ansari-Toroghy, A Survey of Asymptotic Associated, Attached, and Coassociated Primes Relative to Some Modules, Honam Mathematical Journal )3) 25 (2003), 53-72
[11] H. Ansari-Toroghy, Secondary representation of some modules over a commutative ring, Acta Mathematical Hungarica (3) 100 (2003), 257-262
[12] H. Ansari-Toroghy, On a question concerning the Artinian modules, Far East J. Math. Sci. (2) 9 (2003), 215-222
[13] H. Ansari-Toroghy, Relative injectivity and secondary representation, Southeast Asian Bulletin of Mathematics 28 (2004), 989-998
[14] H. Ansari-Toroghy, Relative projectivity and related results, Bull. Korean Math. Soc.
(3) 41 (2004), 419-426
[15] H. Ansari-Toroghy and R. Ovlyaee- Sarmazdeh, Modules and filtration topology, Korean Annals of Mathematics (2) 21(2004), 149-156
[16] H. Ansari-Toroghy and R. Ovlyaee- Sarmazdeh, A certain multiplication module and Zariski topology, Korean Annals of Mathematics (2) 21 (2004), 157-167
[17] H. Ansari-Toroghy and F. Farshadifar, Multiplication left R-modules M having right
End R (M)- module Structure, Korean Annals of Mathematics, (2) 22 (2005), 125-133
[18] H. Ansari-Toroghy and R. Ovlyaee- Sarmazdeh, Finitely generated modules and     connectivity, Georgian Mathematical Journal,  (4) 13 (2006), 599-606
[19] H. Ansari-Toroghy and R. Ovlyaee- Sarmazdeh, Multiplication modules and connectivity, Southeast Asian Bulletin of Mathematics, 31(2007), 1-6.
[20] H. Ansari-Toroghy and F. Farshadifar, The dual notion of multiplication modules, Taiwanese Journal of Mathematics, (4) 11 (2007), 1189-1201.
[21] H. Ansari-Toroghy and F. Dorostkar, “Relative flatness and asymptotic behaviour,    Southeast Asian Bulletin of Mathematics, 32 (2007), 35-48.
[22] H. Ansari-Toroghy, S. Keivani, and R. Ovlyaee- Sarmazdeh, Max(M) and Zariski
        Topology , Honam Mathematical Journal, (3) 28 (2006), 365-376.
[23] H. Ansari-Toroghy and F. Farshadifar, Product and the dual product of submodules, Far   
        East J. Math. Sci., (3) (2007), 447-455.
[24] H. Ansari-Toroghy and F. Farshadifar, Comultiplication modules and related results,
        Honam Mathematical Journal, (1) 30 (2008), 91-99.
[25] H. Ansari-Toroghy and F. Dorostkar, Some remarks on relative projectivity,  Far East J.  
        Math. Sci.,  (3) 28 (2008), 643-655.
[26] H. Ansari-Toroghy and F. Farshadifar, On dual version of Krull’s intersection Theorem,
       International Mathematical Forum, 2 (2007), 53-56.  
[27] H. Ansari-Toroghy and F. Dorostkar, On the integral closures of ideals, Honam        
       Mathematical Journal, (4) 29 (2007), 653-666.
[28] H. Ansari-Toroghy and R. Ovlyaee- Sarmazdeh, On the prime spectrum of a module
       over a commutative ring, Honam Mathematical Journal, (3) 29 (2007),351-366.
[29] H. Ansari-Toroghy and F. Dorostkar, Delta closures of ideals with respect to modules,
       Honam Mathematical Journal, (1) 30 (2008), 101-113.
 [30] H.Ansari-Toroghy and F.Farshadifar, On endomorphisms of multiplication and  
        comultiplication modules, Arch. Math. (Brno) 44 (2008), 9-15.
[31] H.Ansari-Toroghy and F.Farshadifar, Strong comultiplication modules, CMU. J. Nat.  
        Sci. 8 (1) (2009), 105-113.
[32] H.Ansari-Toroghy and F.Farshadifar, On comultiplication modules, Korean Ann. Math.  
       25 (2) (2008), 57-66.
[33] H. Ansari-Toroghy and D. Hassanzadeh-Lelekaami, On the prime submodules of
       primeful modules, International Journal of Algebra, 3 (3) (2009), 119-123 .
[34] H.Ansari-Toroghy, F.Farshadifar, and M. Mast-Zohouri, Some remarks on  multiplication
        and comultiplication modules, International Mathematical Forum, 4 (6)  (2009), 287-291.
[ 35] H. Ansari-Toroghy and R. Ovlyaee- Sarmazdeh, Modules for which the natural map
         of the maximal spectrum is surjective., Colloq. Math. 119 (2010), 217-227
 [36] H. Ansari-Toroghy and F. Farshadifar, The dual notions of some generalizations of   
        prime submodules, Comm. Algebra , 39 (2011), 2396-2416..
[37] H. Ansari-Toroghy and R. Ovlyaee- Sarmazdeh, On the prime spectrum of a module and 
        Zarisiki topologies,  Communications in Algebra 38  (12) (2010), 4461 - 4475 .
[38] H. Ansari-Toroghy and R. Ovlyaee- Sarmazdeh, On the prime spectrum of X-injective 
        modules, Communications in Algebra, 38  (6) (2010), 1-16.
[ 39] H. Ansari-Toroghy and and F.Farshadifar, On the dual notion of prime submodules,  Algebra Colloquium, 
        19 (Spec 1) (2012), 1109-1116.
[40] H. Ansari-Toroghy and F. Farshadifar, On multiplication and comultiplication modules,  
        Acta Math. Sci. 31B (2) (2011), 694-700. 
[41]  H. Ansari-Toroghy and and F.Farshadifar, On the dual notion of prime submodules (II), 
        Mediterr. J. Math., 9 (2012), 327-336.
[42] H. Ansari-Toroghy and S. Keivani, The dual notion of divisible modules, Far East J.
        Math. Sci., 52 ( 2) (2011), 171 – 178.
[43] H. Ansari-Toroghy and F. Dorostkar, Tight closure of ideals relative to modules,
        Honam Mathematical Journal, 32 (4) (2010), 675-687.
[44]  H. Ansari-Toroghy and and F.Farshadifar, Graded comultiplication modules, Chiang
         Mai. J. Sci., 38 (2) (2011), 1-10. 

[45] H. Ansari-Toroghy and F. Farshadifar, On the dual notion of multiplication modules, AJSE-Mathematics,
       36 (6) (2011), 925-932.
[46] H. Ansari-Toroghy and F. Farshadifar, Multiplication and comultiplication modules, Novi Sad J. Math.,
        41 (2) (2011), 117-122. 
[47]  H. Ansari-Toroghy and D. Hassanzadeh-Lelekaami, On the prime spectrum of top modules, Algebra and Discrete
         Mathematics, 11 (1) (2011), 1-16.
[48]  H. Ansari-Toroghy and F. Farshadifar, Fully idempotent and coidempotent modules, Bulletin of the Iranian
         Mathematical Society,38 (4) (2012), 81-96. .
[49]  H. Ansari-Toroghy and F. Farshadifar, On graded second modules, Tamkang Journal of Mathematics, 43 (4) (2012), 499-505.
[50]  H. Ansari-Toroghy and F. Farshadifar, One the dual notion of radical of submodules,
         Asian-European J. Math. 06, 1350024 (2013) [11 pages].
[51]  H. Ansari-Toroghy, S. Keyvani , and S.S. pourmortazavi , Max-weak multiplication modules, Far East J. Math. Sci., 66
        (1) (2012), 81-96.
[52]  H. Ansari-Toroghy, F. Farshadifar, S.S. Pourmortazavi, and F. Khaliphe, On secondary modules,
         International Mathematical Forum, 6 (16) (2012), 769-774.
[53]  H. Ansari-Toroghy and F. Farshadifar, the Zariski topology on the second spectrum of a module,
         Algebra Colloquium, 21 (4) (2014), 671-688
[54]  H. Ansari-Toroghy and S. Keyvani, Strongly top modules, Bulletin of the Malysian Mathematical Sciences Society,
        (2) 37 (1) (2014), 73-82.
[55]  H. Ansari-Toroghy and S. Keyvani,   Some new classes of modules, submitted.
[56]  H. Ansari-Toroghy, S. Keyvani , and F. Farshadifar, the Zariski topology on the second
         spectrum of a module (II), Bulletin of  the Malysian Mathematical Science Society, 39 (2016), 1089-1103.
 
[57]  H. Ansari-Toroghy and S. Keyvani, On the maximal spectrum of a module and Zariski topology, Bulletin of 
         the Malysian Mathematical Science Society, (1) 38 (2015), 303-316.
[58]  H. Ansari-Toroghy and Shokoofe Habibi, The Zariski topology-graph of modules over
        commutative rings, Communications  in Algebra, 42 (2014), 3283-3296.
[59]  H. Ansari-Toroghy, F. Farshdifar, and Shokoofe Habibi, The cozero -divisor graph relative to finitely 
        generated modules, Miskolc Mathematical Notes, (3) 14 (2013),  749-756.
[60]  H. Ansari-Toroghy and Shokoofe Habibi, The quasi-Zariski topology-graph on the maximal spectrume
        of modules over commutative rings, Ovidius constanta, to appear. 
[61]  H. Ansari-Toroghy and Shokoofe Habibi, On the graph of modules over commutative rings, Rocky
        Mountain Journal of Mathematics, (3) 46 (2016), 729-747. 
[62] H. Ansari-Toroghy and S. Habibi, The annihilating-submodule graph of modules over commutative rings,
        submitted.
[63] H. Ansari-Toroghy and S. Habibi, The zariski topology-graph on the maximal spectrum of modules over
        commutative rings, submitted.
[64] H. Ansari-Toroghy and S.S. Pourmortazavi, On the prime spectrum of modules. Miskolc Mathematical Notes, 
        to appear.
[65] H. Ansari-Toroghy, F. Farshadifar, and S.S. Pourmortazavi, On the $P$-interiors of submodules of
        Artinian modules, Hacettepe Journal of Mathematics and Statistics, (3) 45 (2016), 675-682.
[66] H. Ansari-Toroghy, R. Ovlyaee-Sarmazdeh, and S.S. Pourmortazavi. On two problems concerning the Zariski
        topology of modules, Bulletin of the Iranian Mathematical Society, (4) 42 (2016), 941-948.
[67] H. Ansari-Toroghy and S.S. Pourmortazavi, The dual notion of content modules, Communication Algebra, 44 (2016), 4709-4723 .
[68] H. Ansari-Toroghy, S.S. Pourmortazavi, and S. Keyvani, Strongly cotop modules, Journal of Algebra
        and Related Topics, (1) 3 (2015), 13-29.
[69] H. Ansari-Toroghy, S.S. Pourmortazavi, A module whose second spectrum has the surjective
        or injective natural map, submitted.
[70] H. Ansari-Toroghy and F. Farshadifar, Some generalization of second submodules,  submitted.

[71] H. Ansari-Toroghy and S. Habibi, The annihilating-submodule graph of modules over commutative rings II, submitted.

[72] H. Ansari-Toroghy and S. Habibi, The Zariski topology-graph of modules over commutative rings II, submitted.

[73] H. Ansari-Toroghy, F. Farshadifar and, F. Mahboobi-Abkenar, The small intersection graph relative to multiplication modules, Journal of Algebra and Related Topics,  (1) 4 (2016), 21-32.

[74] H. Ansari-Toroghy and F. Farshadifar,  Classical and strongly classical 2-absorbing second submodules, Eropean Journal of Pure and Applied Mathematics, to appear.

[75] H. Ansari-Toroghy and F. Farshadifar, 2-absorbing and strongly 2-absorbing secondary submodules of modules, Le Mathematiche, to appear.

[76] H. Ansari-Toroghy and F. Mahboobi-Abkenar, The large sum graph related to comultiplication modules, submitted.

[77] H. Ansari-Toroghy ,  F. Farshadifar, and F. Mahboobi-Abkenar, An ideal-based cozeo-divisor graph, submitted.

[78] H. Ansari-Toroghy, F. Farshadifar, and F. Mahboobi-Abkenar, On the ideal-based zero-divisor graph, submitted.

[79] H. Ansari-Toroghy, F. Farshadifar, and F. Mahboobi-Abkenar, The secondary radical of submodules, submitted.

[80] H. Ansari-Toroghy and S. S. Poumortazavi, On the minimal submodules of a module, Le Matematiche, to appear.

 

 

 

Advisory for the following M.Sc. Thesis

 

  1       Hamidreza Rezaee, Injective modules over commutative Noetherian rings, 1994.

 2       Ali Asghar  Amir Hasani, Artinian modules and Hilbert polynomials, 1994.

 3       Alireza Guilani, Reduction of ideals in commutative local rings, 1994.

 4       Ahad Rahimi, Coassociated primes,  1995.

 5       Alireza Rasoulpoor, Colocaliozation of Artinian modules, 1997.

 6       Ramin Khosravi, Dual  noton of Bass numbers, 1998.

 7       Amir Hosseini, Asymptotic behaviour of associated and attached prime ideals over injective modules , 1998.

 8       Shahram Khamesi, In jective and flat dimentions, 1999.

 9       Hossein Behnamifard, Asymptotic behaviour of integral closures of ideals relative to Artinian modules, 1999.

10      Akbar Mirahmadi, Groebner  Basis, construct and it"s application,  2000.

11      Maryam Sedghi, On asymptotic behaviour of  {ar A} (I, n) and integral closure of an ideal relative an Artinian  module,  2000.

12      Mousa Valizadeh, On  generalized  Hughes Hughes complex and its relation with cousin complex and generalized fraction ,  2001.

13      Ozra Abedini, Magnitude of modules and local cohomology modules,  2001.

14      Leyla Jalali, Asymptotic behaviour of attached prime ideals over flat modules,  2002.

15      Ali Hemati Dehkordi, Quintessential prime and ideal topologies over a module,  2003.

16      Khadijeh Sayyary, Integral closure and ideal topologies in modules,  2003.

17      Reza Ovlyaee sarmazdeh, A generalization of Falting"s connectedness theorem,  2004.

18      Faranak Farshadyfar, Modules and endomorphism rings,  2004.

19      Farzad Fattahi noode, Some results related to the regular modules and maximal element of suppoort,  2005.

 20     Kazem Abdollahi, Some results related to projective, flat and multiplication modules,  2005.

 21     Siamak keyvani, On prime submodules of finitely free modules,  2006.

 22     Narges Khatoon Tohidi, Associated prime submodules of finitely generated modules,  2006.

 23     Majid Karimi Zavieh, On reduced atomic chains of Artinian modules,  2007.

 24     Maryam Mast Zohouri, Ideals and submodules of multiplication modules,  2007.

 25     Davood Hassanzadeh Lelekaami, Some results related to saturations of submodules,  2008.

 26     Maryam Salari, A new definition of associated prime ideals and some related results,  2008.

 27     Fereshteh Ahmadi, Weakly prime submodules,  2009.

 28     Fateme Khalife, On the Krull dimention of modules,  2010.

 29     Havva Yaghoubi, Modules whose certain submodules are prime,  2010.

 30     Samira Asgari, Catenary modules,  2011.

 31     Maesoume Anarestani, Uniqueness properties of coprimary decomposition of modules over non-commutative rings, 2011.

 32     Hassan Ekhtiyari, A generalization of Noetherian and Artinian modules,  2011.

 33     Farzane Nabavi, On Invertibility of multiplication modules,  2012.

 34     Akhtare Taheri, On the prime spectrum of a module,  2012.

 35     Matin Poorvahab, The Zariski topology on the prime spectrum of a module,  2013.

 36     Soghra Karimi, Cut Vertices in zero divisor graphs of finite commutative rings,  2013.

 37     Sonia Jalilvand, Comultiplication modules over commutative ring,  2014.

 38     Ramin Khanalipour, Some results concerning reduced multiplication modules and F-weak multiplication, 2015.

 39     Hadi Ghanbari, On the annihilating ideal-graph, 2016.

  40    Mohammad Javad Ranji, On the maximal spectrum of a module and Zarisky topology, 2016.          

 41     Fatemeh Naderali, The complement of the intersection graph of submodules of a module, 2016.

 

Suppervisory for the following Ph.D. thesis

                                                                                                                          

(1)  Farhad Dorostkar,  Integral closures and delta closures of ideals relative to modules and relative flatness, 2008.

(2)  Reza Ovlyaee-Sarmazdeh, Modules and topologized  algebraic sets, 2010.

(3)  Faranak Farshadifar, The dual notions of some concepts in module theory, 2011.

(4)  Siyamak Keivani, Some special classes of modules over commutative rings, 2012.

(5)  Shokoofe Habibi, On the studying of modules by using the graph theoretical tools, 2016.

(6)  Seyed Sajad pourmortazavi, Some results related to the prime and second spectrum of modules.

(7)  Farideh Mahboobi-Abkenar, On the studying of some graphs of modules.

 

Area of intrest:

Commutative Algera and Local cohomology.

 

Sabatical Leave:

1955-1956, Matin-Luther-Universitat, Halle-Wittenberg, Germany (here I would like to thank Professor P. Schenzel for his helps during the mentioned  time).

 

 Talks and Conferences

Participant speaker, 22th annual Iranian Mathematics Conference , Ferdowsi University of Mashhad, 1991.

Participant speaker, 23th annual Iranian Mathematics Conference, Razi University of Bakhtaran,  1992.

Participant speaker, 24th annual Iranian Mathematics Conference,  Shahid Beheshti University, 1993

Participant speaker, 9th Annual Iranian Algebra Seminar, University of Mazandaran, 1997.

Participant speaker, 11th Annual Iranian Algebra Seminar, University of  technology Isfahan,1999.

Participant speaker, 13th Annual Iranian Algebra Seminar, Urmia Univercity,  2001.

Participant speaker, 14th Annual Iranian Algebra Seminar, Azzahra University,  2002.

Participant speaker, 33th annual Iranian Mathematics Conference, Ferdowsi University of Mashhad, 2002

Participant speaker, 15th Annual Iranian Algebra Seminar,  University of Guilan, 2003.

Participant speaker, "Commutative Algebra",  Institute for studies in theoretical Physics and Mathematics, 2004.

Participant, "Commutative Algebra",  Institute for studies in theoretical Physics and Mathematics, 2005.

Participant speaker, "Commutative Algebra",  Institute for studies in theoretical Physics and Mathematics, 2006.

Participant , "Commutative Algebra",  Institute for studies in theoretical Physics and Mathematics, 2007.

Participant , "Commutative Algebra",  Institute for studies in theoretical Physics and Mathematics, 2009.

Participant ," Commutative Algebra and Applications to Combinatorics and Algebraic Geometry ", Cimpa-Tubitak Summer School, Feza Gursey Institute and the Galatasaray University, Istanbul, Turkey, 2010.

Participant speaker, 21th Annual Iranian Algebra Seminar, University of Tabriz, 2010.

 

Organizing Committee member

Editor and Scientific member in "15th Annual Iranian Algebra Seminar" held in  "University of Guilan, 19-20 July 2003".

 Editor-in-Chief :  Journal of Algebra and Related Topics

Teaching Experience   

Graduate courses: 

Advanced Algebra, Commutative Algebra 1, Commutative Algebra 2, Homological Algera 1, Homological Algebra 2

 

Undergraduate courses:

Calculus (Math. 1 and Math. 2), Analysis 1, Complex variable, Algebra 1, Algebra 2, Algebra 3.

 

 

Executive positions

Vice-Chancellor of Education, 1991-1995, University of Guilan.

Vice-Chancellor of  Student"s Affair, 1990-1991, University of Guilan.

Dean of Fculty of Science, 1985-1997, University of Guilan.

Vice-Chancellor of Education, Aug 2006- March 2006, University of Guilan.

 

 

 

 

 

 

 

 

 
 
 
 
 

 



 

 

Ph.D. In Mathematics:

 Department of Mathematics, University of Shefield, England,  1990.

Title of thesis: Reduction and integral closures of ideals relative to injective

 modules over commutative Notherian rings

Supervisor: Professor R.Y. Sharp

 

 

M.Sc. In Mathematics:

 

 Department of Mathematics, Oklahoma State Uniniversity, U.S.A ,  1980

 

 

 B.Sc. In Mathematics:

 

 Department of Mathematics, Pars collage, Tehran, Iran 1974.

 

 

 

 

 

 

 

 

 

 

 

 

 

 



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