IPM Positions

Senior Associate Researcher, School of Mathematics (2006 - 2015 )

Past IPM Positions

Head, School of Mathematics (2007 - 2009) (From March 2007 to July 2009 ) Senior Associate Researcher, School of Mathematics (2003 - 2006) Senior Associate Researcher, School of Mathematics Vice Head, School of Mathematics (2001 - 2003) Senior Associate Researcher, School of Mathematics (2000 - 2001)

Non IPM Affiliations

Professor of University of Tehran (Department of Mathematics)

Research Interests

Commutative Algebra, Homological Algebra, Algebraic Geometry

Research Activities

Since the middle of the fifties homological methods have been an important tool in several branches of mathematics. This is certainly the case for ``algebraic'''''''' subjects like algebraic geometry, algebraic topology, and commutative algebra. The notions of the classical homological dimension (projective, injective, and flat dimension) of modules have been generalized to that of complexes of modules, cf. R. Hartshorn and H.B. Foxby, the later has extended (most of) the formulas known for modules. One of the main themes in this research is the study about the homological dimensions (Classical, Gorenstein, and restricted dimensions) of complexes of modules. The dual of notions have often proved to be important tools in mathematics, for example in Matlis'''' works. The other main themes in this research is to study the duals of some notions in commutative algebra.

Present Research Project at IPM

Homological Methods in Commutative Algebra

Related Papers

1.	R. Rahmati-Asghar and S. Yassemi The behaviors of expansion functor on monomial ideals and toric rings Comm. Algebra 44 (2016), 3874-3889  [abstract]

2.	S. Yassemi (Joint with N. Hajisharifi and A. Soleyman Jahan) Very well-covered graphs and their h-vectors Acta Math. Hungar. 145 (2015), 455-467  [abstract]

3.	H. R. Maimani and S. Yassemi (Joint with A. Shariatinia) Domination number of total graphs Math. Slovaca (Accepted) [abstract]

4.	M. R. Pournaki, S. A. Seyed Fakhari and S. Yassemi New classes of set-theoretic complete intersection monomial ideals Comm. Algebra 43 (2015), 3920-3924  [abstract]

5.	H. R. Maimani, M. R. Pournaki and S. Yassemi (Joint with S. Kiani) Classification of rings with unit graphs having domination number less than four Rend. Sem. Math. Univ. Padova 133 (2015), 173-195  [abstract]

6.	M. R. Pournaki, S. A. Seyed Fakhari and S. Yassemi (Joint with A. Constantinescu and N. Terai) Cohen-Macaulayness and limit behavior of depth for powers of cover ideals Comm. Algebra 43 (2015), 143-157  [abstract]

7.	S. A. Seyed Fakhari and S. Yassemi (Joint with N. Altafi and N. Nemati) Free resolution of powers of monomial ideals and Golod rings Math. Scand. (Accepted) [abstract]

8.	S. A. Seyed Fakhari and S. Yassemi (Joint with A. Mousivand) A new construction for Cohen-Macaulay graphs Comm. Algebra (Accepted) [abstract]

9.	S. Yassemi (Joint with H. Haghighi and Rahim Zaare Nahandi) Cohen-Macaulay bipartite graphs in arbitrary codimension Proc. Amer. Math. Soc. (Accepted) [abstract]

10.	H. R. Maimani and S. Yassemi (Joint with S. Kiani) Well-covered and Cohen-Macaulay uinitary Caylay graphs Acta Math. Hungar. (Accepted) [abstract]

11.	S. Yassemi (Joint with M. Salimi and E. Tavasoli) Gorenstein homological dimension with respect to a semidualizing module and a generalization of a theorem of Bass Comm. Algebra 42 (2014), 2213-2221  [abstract]

12.	M. R. Pournaki, S. A. Seyed Fakhari and S. Yassemi (Joint with N. Terai) Simplicial complexes satisfying Serre's condition: a survey with some new results J. Commut. Algebra 6 (2014), 455-483  [abstract]

13.	S. Yassemi (Joint with M. Salimi and E. Tavasoli) Homological dimensions with respect to a semidualizing module and tensor products of algebras Algebra Colloq. (Accepted) [abstract]

14.	S. Yassemi (Joint with R. Rahmati-Asghar) On the weakly polymatroidal property of the edge ideals of hypergraphs Comm. Algebra 42 (2014), 1011-1021  [abstract]

15.	S. Yassemi (Joint with R. Rahmati-Asghar) k-decomposable monomial ideals Algebra Colloq. (Accepted) [abstract]

16.	H. R. Maimani, M. R. Pournaki and S. Yassemi (Joint with A. K. Das) Nonplanarity of unit graphs and classification of the toroidal ones Pacific J. Math. 268 (2014), 371-387  [abstract]

17.	M. R. Pournaki, S. A. Seyed Fakhari and S. Yassemi A generalization of the Swartz equality Glasg. Math. J. 56 (2014), 381-386  [abstract]

18.	M. R. Pournaki, M. Tousi and S. Yassemi (Joint with B. Torrecillas) Pure-injectivity of tensor products of modules Algebra Colloq. 21 (2014), 151-156  [abstract]

19.	S. Yassemi (Joint with M. Salimi, S. Sather-Wagstaff, and E. Tavasoli) Relative Tor functors with respect to a semidualizing module Algebr. Represent Theor. (Accepted) [abstract]

20.	S. Yassemi (Joint with M. Salimi and E. Tavasoli) The amalgamated duplication of a ring along a semidualizing ideal Rend. Sem. Math. Univ. Padova (Accepted) [abstract]

21.	S. Yassemi (Joint with N. Mahdou and M. Tamekkante) Coherent power series ring and weak Gorenstein global dimension Glasgow Math. J. (2013), DOI: 10.1017/S0017089512000705  [abstract]

22.	M. R. Pournaki and S. Yassemi (Joint with S. A. Seyed Fakhari) On the Stanley depth of weakly polymatroidal ideals Arch. Math. (Basel) 100 (2013), 115-121  [abstract]

23.	H. R. Maimani, M. R. Pournaki and S. Yassemi (Joint with M. Alizadeh) An ideal theoretic approach to complete partite zero-divisor graphs of posets J. Algebra Appl. 12 (2013), 11 pages  [abstract]

24.	M. R. Pournaki and S. Yassemi (Joint with S. A. Seyed Fakhari) Stanley depth of powers of the edge ideal of a forest Proc. Amer. Math. Soc. 141 (2013), 3327-3336  [abstract]

25.	M. R. Pournaki and S. Yassemi (Joint with S. A. Seyed Fakhari) On the h-triangles of sequentially (Sr) simplicial complexes via algebraic shifting Ark. Mat. 51 (2013), 185-196  [abstract]

26.	S. Yassemi (Joint with A. Chin) Cleanness and related structures in amalgamated duplication rings J. Algebra Appl. 11 (2012), 8 pages  [abstract]

27.	S. Yassemi (Joint with M. Salimi and E. Tavasoli) Top local cohomology modules and Gorenstein injectivity with respect to a semidualizing module Arch. Math. (Basel) 98 (2012), 299-305  [abstract]

28.	A. Bagheri, M. Salimi, E. Tavasoli and S. Yassemi A construction of quasi-Gorenstein rings J. Algebra Appl. 11 (2012), # 9 Pages  [abstract]

29.	D. Kiani, F. Mohammadi and S. Yassemi (Joint with M. Barile) Arithmetical rank of the cyclic and bicyclic graphs J. Algebra Appl. 11 (2012), #P14  [abstract]

30.	S. Yassemi (Joint with A. Goodarzi) Shellable quasi-forests and their h-triangles Manuscripta Math. 137 (2012), 475-481  [abstract]

31.	S. Yassemi (Joint with M. Salimi and E. Tavasoli) k-torsionless modules with finite Gorenstein dimension Czechoslovak Math. J. 62 (2012), 663-672  [abstract]

32.	H. R. Maimani, M. R. Pournaki and S. Yassemi (Joint with M. Alizadeh and A. K. Das) On the diameter and girth of zero-divisor graphs of posets Discrete Appl. Math. 160 (2012), 1319-1324  [abstract]

33.	M. R. Pournaki and S. Yassemi (Joint with A. Goodarzi and S. A. Seyed Fakhari) On the h-vector of a simplicial complex with Serre's condition J. Pure Appl. Algebra 216 (2012), 91-94  [abstract]

34.	H. R. Maimani and S. Yassemi (Joint with C. Wickham) Rings whose total graphs have genus at most one Rocky Mountain J. Math. (2012), DOI: 10.1216/RMJ-2012-42-5-1  [abstract]

35.	S. Yassemi (Joint with N. Mahdou and M. Tamekkante) On (strongly) Gorenstein Von Neumann regualr rings Comm. Algebra 39 (2011), 3242-3252  [abstract]

36.	K. Borna, P. Sahandi and S. Yassemi Cofiniteness of generalized local cohomology modules Bull. Austral. Math. Soc. 83 (2011), 382-388  [abstract]

37.	S. Yassemi (Joint with H. Haghighi, N. Terai, and R. Zaare-Nahandi) Sequentially Sr simplicial complexes and sequentially S2 graphs Proc. Amer. Math. Soc. 139 (2011), 1993-2005  [abstract]

38.	P. Sahandi, T. Sharif and S. Yassemi Depth Formula via complete intersection flat dimension Comm. Algebra 39 (2011), 4002-4013  [abstract]

39.	H. R. Maimani and S. Yassemi (Joint with M. R. Pournaki) Necessary and sufficient conditions for unit graphs to be Hamiltonian Pacific J. Math. 249 (2011), 419-429  [abstract]

40.	K. Borna and S. Yassemi (Joint with S. Sather-Wagstaff) Rings that are homologically of minimal multiplicity Comm. Algebra 39 (2011), 782-807  [abstract]

41.	S. Yassemi (Joint with R. Takahashi and Y. Yoshino) On existence of embeddings into modules of finite homological dimensions Proc. Amer. Math. Soc. 138 (2010), 2265-2268  [abstract]

42.	D. Kiani and S. Yassemi (Joint with F. Mohammadi) Shellable cactus graphs Math. Scand. 106 (2010), 161-167  [abstract]

43.	H. R. Maimani, M. R. Pournaki and S. Yassemi Weakly perfect graphs arising from rings Glasgow Math. J. 52 (2010), 417-425  [abstract]

44.	S. Yassemi (Joint with H. Haghighi and Rahim Zaare-Nahandi) Bipartite S2 graphs are Cohen-Macaulay Bull. Math. Soc. Sci. Math. Roumanie (Accepted) [abstract]

45.	S. Yassemi (Joint with S. Sather-Wagstaff) Modules of finite homological dimension with respect to a semidualizing module Archiv der Mathematik (Accepted) [abstract]

46.	H. R. Maimani and S. Yassemi On the zer-divisor graphs of commutative semigroups Houston J. Math. (Accepted) [abstract]

47.	S. Nasseh, M. Tousi and S. Yassemi Characterization of modules of finite projective dimension via Frobenius functors Manuscripta Math. 130 (2009), 425-431  [abstract]

48.	M. Tousi and S. Yassemi (Joint with L. Khatami) Finiteness of Gorenstein injective dimension of modules Proc. Amer. Math. Soc. 137 (2009), 2201-2207  [abstract]

49.	H. Sabzrou, M. Tousi and S. Yassemi Simplicial join via tensor product Manuscripta Math. 126 (2008), 255-272  [abstract]

50.	M. Tousi and S. Yassemi The Lichtenbaum-Hartshorne theorem for modules which are finite over a ring homomorphism J. Pure Appl. Algebra 212 (2008), 1222-1228  [abstract]

51.	H. R. Maimani and S. Yassemi (Joint with M. Salimi and A. Sattari) Comaximal graph of commutative rings J. Algebra 319 (2008), 1801–1808  [abstract]

52.	M. T. Dibaei and S. Yassemi Bass numbers of local cohomology modules with respect to an ideal Algebr. Represent Theor. 11 (2008), 299-306  [abstract]

53.	S. Yassemi (Joint with K. Borna Lorestani and P. Sahandi) Artinian local cohomology modules Canad. Math. Bull. 50 (2007), 598-602  [abstract]

54.	L. Khatami and S. Yassemi A Bass formula for Gorenstein injective dimension Comm. Algebra 35 (2007), 1882-1889  [abstract]

55.	S. Yassemi (Joint with A. Tehranian and M. Tousi) Characterizing local rings via test modules Comm. Algebra 35 (2007), 2524-2532  [abstract]

56.	S. Yassemi (Joint with M. T. Dibaei) Top local cohomology modules Algebra Colloq. 14 (2007), 209-214  [abstract]

57.	M. T. Dibaei and S. Yassemi Finiteness of extension functors of local cohomology modules Comm. Algebra 34 (2006), 3097-3101  [abstract]

58.	M. T. Dibaei and S. Yassemi Associated primes of the local cohomology modules ( In: Abelian groups, rings, modules, and homological algebras) [abstract]

59.	Sh. Salarian and S. Yassemi (Joint with S. Sather-Wagstaff) Characterizing local rings via homological dimensions and regular sequences J. Pure Appl. Algebra 207 (2006), 99-108   [abstract]

60.	M. R. Pournaki, M. Tousi and S. Yassemi Tensor products of approximately Cohen-Macaulay rings Comm. Algebra 34 (2006), 2857-2866  [abstract]

61.	H. R. Maimani, M. R. Pournaki and S. Yassemi Zero-divisor graph with respect to an ideal Comm. Algebra 34 (2006), 923-929  [abstract]

62.	M. Tousi and S. Yassemi (Joint with A. Tehranian) Strong Gorenstein test modules Comm. Algebra 34 (2006), 879-882  [abstract]

63.	M. Tousi and S. Yassemi Tensor products of clean rings Glasgow Math. J. 47 (2005), 501-503  [abstract]

64.	M. Tousi and S. Yassemi Sequentially Cohen-Macaulay modules under base change Comm. Algebra 33 (2005), 3977-3987  [abstract]

65.	T. Sharif and S. Yassemi Special homological dimensions and intersection theorem Math. Scand. 96 (2005), 161-168  [abstract]

66.	S. Yassemi (Joint with M. T. Dibaei) Attached primes of the top local cohomology modules with respect to an ideal Arch. Math. (Basel) 84 (2005), 292-297  [abstract]

67.	S. Yassemi and M. Tousi Catenary, locally equidimensional, and tensor product of algebras Comm. Algebra 33 (2005), 1023-1029  [abstract]

68.	M.T. Dibaei and S. Yassemi Cohomological dimension of complexes Comm. Algebra (2004), 4375-4386  [abstract]

69.	T. Sharif and S. Yassemi Depth formulas, restricted Tor-dimension under base change Rocky Mountain J. Math. 34 (2004), 1131-1146  [abstract]

70.	L. Khatami and S. Yassemi Cohen-Macaulayness of tensor product Rocky Mountain J. Math. 34 (2004), 205-213  [abstract]

71.	S. Akbari, H. R. Maimani and S. Yassemi When a zero-divisor graph is planar or complete r-partite graph J. Algebra 270 (2003), 169-180  [abstract]

72.	M. Tousi and S. Yassemi Tensor products of some special rings J. Algebra 268 (2003), 672-676  [abstract]

73.	T. Sharif and S. Yassemi Bounds for numbers of generators for a class of submodules of a finitely generated modules Comm. Algebra 30 (2002), 4377-4381  [abstract]

74.	T. Sharif and S. Yassemi A generalization of Auslander-Buchsbaum and Bass formulas Comm. Algebra 30 (2002), 869-875  [abstract]

75.	S. Yassemi, L. Khatami and T. Sharif A generalization of the grade of a module Algebra Colloq. 9 (2002), 265-270  [abstract]

76.	S. Yassemi, L. Khatami and T. Sharif Associated primes of generalized local cohomology modules Comm. Algebra 30 (2002), 327-330  [abstract]

77.	T. Sharif, S. Yassemi and L. Khatami Grade and gorenstein dimension Comm. Algebra 29 (2001), 5085-5094  [abstract]

78.	S. Yassemi Cofinite modules Comm. Algebra 29 (2001), 2333-2340  [abstract]

79.	S. Yassemi Homomorphisms locally of finite injective dimension New Zealand J. Math. 29 (2000), 97-102  [abstract]

80.	H. Rahmati and S. Yassemi The singular sets of a complex of modules Acta Math. Univ. Comenian. 68 (1999), 85-89  [abstract]

81.	S. Yassemi On flat and injective dimension Ital. J. pure Appl. Math. (1999), 33-41  [abstract]

82.	S. Yassemi The dual notion of the cyclic modules Kobe J. Math. 15 (1998), 41-46  [abstract]

83.	S. Yassemi Weakly associated primes under change of rings Comm. Algebra 26 (1998), 2007-2018  [abstract]