References
- Akbari S, Mohammadian A. On zero-divisor graphs of finite rings. J. Algebra. 2007;314:168–184.
- Akbari S, Kiani D, Mohammadi F, Moradi S. The total graph and regular graph of a commutative ring. J. Pure Appl. Algebra. 2009;213:2224–2228.
- Anderson DF, Badawi A. On the total graph of a commutative ring without the zero element. J. Algebra Appl. 2012;11:18.
- Anderson DF, Livingston PS. The zero-divisor graph of a commutative ring. J. Algebra. 1999;217:434–447.
- Dolz̆an D, Oblak P. The zero-divisor graphs of rings and semirings. Internat. J. Algebra Comput. 2012;22:20.
- Mohammadian A. On commuting graphs of finite matrix rings. Comm. Algebra. 2010;38:988–994.
- Wang H-J. Co-maximal graph of non-commutative rings. Linear Algebra Appl. 2009;430:633–641.
- Gasper G, Rahman M. Basic hypergeometric series. Cambridge: Cambridge University Press; 1990.
- Chakrabarty I, Ghosh S, Mukherjee TK, Sen MK. Intersection graphs of ideals of rings. Discrete Math. 2009;309:5381–5392.
- Akbari S, Tavallaee HA, Khalashi Ghezel-Ahmad S. Intersection graph of submodules of a module. J. Algebra Appl. 2012;11:8.
- Jacobson N. Lectures in abstract algebra, Vol. 2, Linear algebra. Princeton (NJ): Van Nostard; 1964. Springer-Verlag reprint; 1975.
- Goodearl KR, Warfield RB. An introduction to noncommutative notherian rings. Cambridge: Cambridge University Press; 2004.
- Akbari S, Nikandish R, Nikmehr MJ. Some results on the intersection graphs of ideals of rings. J. Algebra Appl. in press.
- Atiyah MF, Macdonald IG. Introduction to commutative algebra. London: Addison-Wesley Publishing Co., Reading, Mass; 1969.
- Prasolov VV. Problems and Theorems in linear algebra. Providence (RI): American Mathematical Society; 1994.
- Lam TY. A first course in non-commutative rings. New York (NY): Springer-Verlag; 1991.
- Laksov D, Thorup A. Counting matrices with coordinates in finite fields and of fixed rank. Math. Scand. 1994;74:19–33.
- Blokhuis A, Brouwer AE, Chowdhury A, Frankl P, Mussche T, Patkós B, Szőnyi T. A Hilton-Milner Theorem for vector spaces. Electron. J. Combin. 2010;17:R71.
- Graver JE. An elementary treatment of general inner product. Coll. Math. J. 2011;42:57–59.