High School Texts

1. With H. Hashemi and R. Monavari, A First Step in Calculus, 2nd Edition, 1st 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), 10th Printing, Education Ministry Press, 2010 (In Persian).

1. With M. Hesaaraki, Complex Functions, 2nd Edition, 1st Printing, Fatemi Publication, 2010 (In Persian).

2. With S. Yassemi, Introduction to Module Theory, 3rd Printing, Sharif University Press, 2010 (In Persian).

Research Papers

 
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1. With M. R. Darafsheh, On the dimensions of cyclic symmetry classes of tensors, J. Algebra 205 (1998), no. 1, 317-325.

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, 137-149.

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, 237-250.

4. With M. R. Darafsheh, Non-vanishing and orthogonal basis of symmetry classes of tensors, Southeast Asian Bull. Math. 24 (2000), no. 4, 525-531.

5. With M. R. Darafsheh and K. Mallahi, A note on Cayley-Hamilton theorem for generalized matrix function, Pure Math. Appl. 11 (2000), no. 4, 553-557.

6. Some non-trivial symmetry classes of tensors associated with certain characters, Southeast Asian Bull. Math. 25 (2001), no. 3, 523-527.

7. On the orthogonal basis of the symmetry classes of tensors associated with certain characters, Linear Algebra Appl. 336 (2001), no. 1-3, 255-260.

8. With M. Tousi, A note on the countable union of prime submodules, Int. J. Math. Math. Sci. 27 (2001), no. 10, 641-643.

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, 263-270.

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), 369-374.

11. With M. Tousi, Explicit description of a class of indecomposable injective modules, Acta Math. Sci. Ser. B Engl. Ed. 25 (2005), no. 3, 511-514.

12. With M. S. Lucido, Elements with square roots in finite groups, Algebra Colloq. 12 (2005), no. 4, 677-690.

13. With I. M. Isaacs, Generalizations of Fermat's little theorem via group theory, Amer. Math. Monthly 112 (2005), no. 8, 734-740.

14. An extension of a result of Gauss to finite groups: a linear algebraic approach, Elem. Math. 61 (2006), no. 1, 24-31.

15. With H. R. Maimani and S. Yassemi, Zero-divisor graph with respect to an ideal, Comm. Algebra 34 (2006), no. 3, 923-929.

16. With M. Tousi and S. Yassemi, Tensor products of approximately Cohen-Macaulay rings, Comm. Algebra 34 (2006), no. 8, 2857-2866.

 

 

17. Groups acting on a set whose orbits are all singleton, Bull. Austral. Math. Soc. 73 (2006), no. 2, 231-234.

 

 

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, 248-254.

 

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. Tayfeh-Rezaie, 3-Designs with block size 6 from PSL(2,q) and their large sets, Discrete Math. 307 (2007), no. 13, 1580-1588.

 

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, 727-734.

 

21. With M. S. Lucido, Probability that an element of a finite group has a square root, Colloq. Math. 112 (2008), no. 1, 147-155.

 

 

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, 248-254], 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, 1106-1108.

 

24. On the number of even permutations with roots, Australas. J. Combin. 45 (2009), 37-42.

 

 

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, 17-25.

With H. R. Maimani and S. Yassemi, Weakly perfect graphs arising from rings, Glasg. Math. J., to appear.

With H. R. Maimani and S. Yassemi, A class of weakly perfect graphs, Czechoslovak Math. J., to appear.

With N. Ashrafi, H. R. Maimani and S. Yassemi, Unit graphs associated with rings, Comm. Algebra, to appear.

 

With M. R. Mokhtarzadeh and A. Razani, A note on periodic solutions of Riccati equations, Nonlinear Dynam., to appear.

 

Commutativity degrees of finite groups revisited, submitted.


With H. R. Maimani and S. Yassemi, Probability that the sum of two ring elements is a unit, submitted.


With H. R. Maimani and S. Yassemi, Necessary and sufficient conditions for unit graphs to be Hamiltonian, submitted.


With A. Razani, An existence-uniqueness theorem for a class of boundary value problems, submitted.
 

With B. Torrecillas, M. Tousi and S. Yassemi, Pure-injectivity of tensor and torsion products of modules, submitted.
 

With A. Goodarzi, S. A. Seyed Fakhari and S. Yassemi, On the h-vector of a simplicial complex with Serre's condition, submitted.

Expository Papers

1. A high school proof for Fermat's two square theorem, Mathematics Education Journal 15 (1999), no. 57, 50-53 (In Persian).

 

 

2. Symmetry class of tensors, Farhang va Andishe-ye Riyazi 18 (1999), no. 1, 49-64 (In Persian).

 

 

3. Euler arithmetic function, Mahnameh-ye Riyaziat 1 (2000), no. 1, 19-24 (In Persian).

 

4. Arithmetic functions, Mahnameh-ye Riyaziat 1 (2000), no. 2, 16-20 (In Persian).

 

5. Matrices and conic sections, Mathematics Education Journal 17 (2001), no. 65, 12-24 (In Persian).

 

6. An extension of a theorem of Gauss to finite groups, Nashr-e Riyazi 15 (2005), no. 1, 50-53 (In Persian).