High School Texts
University Texts
Papers in Refereed Journals
Invited Expository Papers (in Persian)
High School Texts
1. With H. Hashemi and R.
Monavari,
A First Step in Calculus,
2nd Edition, 3rd Printing, Alavi Publication, 2005 (in Persian).
2. With Y. Tabesh,
Analytic Geometry and Linear Algebra (the mathematics book being
taught in the last year of Iran's high schools), 15th Printing, Education
Ministry Press, 2015 (in Persian).
University
Texts
1. With M. Hesaaraki,
Complex Functions, 2nd Edition, 3rd Printing, Fatemi Publication, 2012 (in
Persian).
2. With S. Yassemi,
Introduction to Module Theory, 6th Printing, Sharif University
Press, 2015 (in Persian).
3. With S. Yassemi,
Homological Methods in Commutative Algebra, Sharif University
Press, in final preparation (in Persian).
Papers in Refereed Journals
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1. With M. R. Darafsheh, On
the dimensions of cyclic symmetry classes of tensors,
J. Algebra
205 (1998), no. 1,
317325.
2. With M. R. Darafsheh, On the
orthogonal basis
of the symmetry classes of tensors
associated with the
dicyclic group,
Linear and Multilinear Algebra
47
(2000), no. 2, 137149.
3. With M. R. Darafsheh,
Computation of the dimensions of symmetry classes of tensors associated
with the finite two dimensional projective special linear group,
Appl. Algebra Engrg. Comm. Comput.
10 (2000), no. 3,
237250.
4. With M. R. Darafsheh,
Nonvanishing and orthogonal basis of symmetry classes of tensors,
Southeast Asian Bull. Math.
24 (2000), no. 4,
525531.
5. With M. R. Darafsheh and K.
Mallahi,
A note on CayleyHamilton theorem for generalized matrix function,
Pure Math. Appl.
11 (2000), no. 4,
553557.
6. Some nontrivial symmetry
classes of tensors associated with certain characters,
Southeast Asian Bull. Math.
25 (2001), no. 3,
523527.
7. On the
orthogonal
basis of the symmetry classes of tensors associated with certain
characters,
Linear Algebra Appl.
336 (2001), no.
13, 255260.
8. With M. Tousi,
A note on the countable union of prime submodules,
Int. J. Math. Math. Sci.
27 (2001), no. 10, 641643.
9. With A. R. Moghaddamfar,
Recognition of some symmetric groups by the set of the order of their
elements,
Acta Math. Hungar.
99
(2003), no. 4, 263270.
10.
With C. Bessenrodt and A. Reifegerste, A note on the orthogonal basis
of a certain full symmetry class of tensors,
Linear Algebra Appl.
370
(2003), 369374.
11. With M. Tousi, Explicit
description of a class of indecomposable injective modules,
Acta Math. Sci. Ser. B Engl. Ed.
25 (2005),
no. 3, 511514.
12. With M. S. Lucido, Elements
with square roots in finite groups,
Algebra Colloq.
12
(2005), no. 4, 677690.
13. With I. M. Isaacs, Generalizations of
Fermat's little theorem via group theory,
Amer. Math. Monthly
112 (2005), no. 8, 734740.
14. An extension of a
result of Gauss to finite groups: a linear algebraic approach,
Elem. Math.
61 (2006), no. 1, 2431.
15. With H. R. Maimani and S. Yassemi, Zerodivisor graph with respect to an
ideal,
Comm. Algebra
34 (2006), no. 3, 923929.
16. With M. Tousi and S. Yassemi, Tensor
products of approximately CohenMacaulay rings,
Comm. Algebra
34 (2006), no. 8, 28572866.
17. Groups acting on a set whose
orbits are all singleton,
Bull. Austral. Math. Soc.
73 (2006), no. 2, 231234.
18. With A. Razani, On the existence of periodic solutions for a class
of generalized forced Liénard equations,
Appl. Math. Lett.
20 (2007), no. 3, 248254.
Unfortunately, there is an error in the statement of the Main Theorem in
the published version of this paper. Please see the
Erratum
associated with this paper. You may use also the following
corrected version of the paper.
19. With G. R. Omidi and B.
TayfehRezaie, 3Designs with block size 6 from PSL(2,q) and their
large sets,
Discrete Math.
307 (2007), no. 13, 15801588.
20. With R. Sobhani, Probability that the
commutator of two group elements is equal to a given element,
J. Pure Appl. Algebra
212 (2008), no. 4, 727734.
21. With
M. S. Lucido, Probability that an
element of a finite group has a square root,
Colloq. Math.
112 (2008), no.
1, 147155.
22. With A. Razani, Erratum to "On the
existence of periodic solutions for a class of generalized
forced Liénard equations" [Appl. Math. Lett. 20 (2007), no.
3, 248254],
Appl. Math. Lett.
21 (2008), no. 8, 880.
23.
With S. A. Seyed Fakhari, M. Tousi and S. Yassemi, What is ... Stanley
depth?
Notices Amer. Math. Soc.
56 (2009), no. 9, 11061108.
24. On
the number of even permutations with roots,
Australas. J. Combin.
45 (2009), 3742.
25. With H. R. Maimani and S. Yassemi, Rings
which are generated by their units: a
graph theoretical approach,
Elem. Math. 65 (2010), no.
1, 1725.
26. With N. Ashrafi, H. R. Maimani and S.
Yassemi, Unit graphs associated with rings,
Comm. Algebra
38 (2010), no.
8, 28512871.
27. With H. R.
Maimani and S. Yassemi, Weakly perfect graphs arising from rings,
Glasg. Math. J. 52 (2010), no.
3, 417425.
28. With M. R. Mokhtarzadeh and A. Razani, A
note on periodic solutions of Riccati equations,
Nonlinear Dynam. 62
(2010), no. 12, 119125.
29. With H. R.
Maimani and S. Yassemi, A class of weakly perfect graphs,
Czechoslovak Math. J. 60(135)
(2010), no. 4, 10371041.
30.
With H. R. Maimani and S. Yassemi, Necessary and sufficient conditions
for unit graphs to be Hamiltonian,
Pacific J. Math.
249
(2011), no. 2, 419429.
31. With H. R. Maimani,
A. Tehranian and S. Yassemi, Graphs attached to rings revisited,
Arab. J. Sci. Eng.
36
(2011), no. 6, 9971011.
32. With A.
Goodarzi, S. A. Seyed Fakhari and S. Yassemi, On the hvector of a
simplicial complex with Serre's condition,
J. Pure Appl. Algebra
216
(2012), no. 1, 9194.
33. With M.
Alizadeh, A. K. Das, H. R. Maimani and S. Yassemi, On the diameter and girth
of zerodivisor graphs of posets,
Discrete Appl. Math.
160
(2012), no. 9, 13191324.
34. With M. R.
Mokhtarzadeh and A. Razani, An existenceuniqueness theorem for a class
of boundary value problems,
Fixed Point Theory
13
(2012), no. 2, 583592.
35. With M.
Alizadeh, H. R. Maimani and S. Yassemi, An ideal theoretic approach to
complete partite zerodivisor graphs of posets,
J. Algebra Appl.
12
(2013), no. 2, 1250148, 11 pp.
36. With S. A. Seyed Fakhari and S. Yassemi,
On the Stanley depth of weakly polymatroidal ideals,
Arch. Math. (Basel) 100
(2013), no. 2, 115121.
37. With S. A.
Seyed Fakhari and S. Yassemi, On the htriangles of sequentially (S_r)
simplicial complexes via algebraic shifting,
Ark. Mat.
51
(2013), no. 1, 185196.
38. With A. K.
Das and R. K. Nath, A survey on the estimation of commutativity in finite groups,
Southeast Asian Bull. Math.
37
(2013), no. 2, 161180.
39. With S. A.
Seyed Fakhari and S. Yassemi, Stanley depth of powers of the edge ideal
of a forest,
Proc. Amer. Math. Soc.
141
(2013), no. 10, 33273336.
40. With B. Torrecillas, M. Tousi
and S. Yassemi, Pureinjectivity of tensor
products of modules,
Algebra Colloq.
21
(2014), no. 1, 151156.
41. With S. A.
Seyed Fakhari and S. Yassemi, A generalization of the Swartz equality,
Glasg. Math. J.
56
(2014), no. 2, 381386.
42. With A. K.
Das, H. R. Maimani and S. Yassemi, Nonplanarity of unit graphs and
classification of the toroidal ones,
Pacific J. Math. 268
(2014), no. 2, 371387.
43. With S. A.
Seyed Fakhari, N. Terai and S. Yassemi, Simplicial complexes satisfying
Serre's condition: a survey with some new results,
J. Commut. Algebra
6
(2014), no. 4, 455483.
44. With A.
Constantinescu, S. A. Seyed Fakhari, N. Terai and S. Yassemi,
CohenMacaulayness and limit behavior of depth for powers of cover
ideals,
Comm. Algebra 43
(2015), no. 1, 143157.
45. With S.
Kiani, H. R. Maimani and S. Yassemi, Classification of rings with unit
graphs having domination number less than four, Rend. Semin. Mat. Univ. Padova
133 (2015), 173195.
46. With S. A.
Seyed Fakhari and S. Yassemi, New classes of settheoretic complete
intersection monomial ideals, Comm. Algebra
43 (2015), no. 9, 39203924.
47. With H. Amraei, H. R. Maimani and A. Zaeembashi, The nonorientable
genus of some Jacobson graphs and classification of the projective ones, Publ. Math. Debrecen
88 (2016), no. 34, 425437.
With H. Amraei, H. R. Maimani and A. Zaeembashi, Classification of
the toroidal Jacobson graphs, Bull. Malays. Math. Sci. Soc., to appear.
With Z.
Goodarzi, M. R. Mokhtarzadeh and A. Razani, A note on periodic solutions of matrix Riccati
differential equations, submitted.
With A. Y. M. Chin, H. R. Maimani and S. Yassemi, An upper
bound for the strong edge chromatic number of a class of bipartite graphs, submitted.
With A. Y. M.
Chin, S. Kiani and H. R. Maimani, Some bounds for the domination number
of a class of graphs arising from rings, submitted.
With T. Asir, H. R. Maimani and T. Tamizh Chelvam, Some bounds
for the genus of a class of graphs arising from rings, submitted.
Invited Expository Papers (in Persian)
1. A high school proof for
Fermat's two square theorem,
Mathematics Education Journal 15 (1999), no. 57, 5053 (in
Persian).
2. Symmetry class of
tensors, Farhang va Andisheye Riyazi 18 (1999), no. 1, 4964 (in
Persian).
3. Euler arithmetic function, Mahnamehye Riyaziat 1 (2000), no. 1, 1924 (in
Persian).
4. Arithmetic functions, Mahnamehye Riyaziat 1 (2000), no. 2, 1620 (in
Persian).
5.
Matrices and conic sections, Mathematics Education Journal 17 (2001), no.
65, 1224 (in Persian).
6. An extension of a theorem of Gauss to finite groups, Nashre
Riyazi
15 (2005), no. 1, 5053 (in Persian).
