References
- [1] D. D. Anderson and M. Naseer, Beck's coloring of a commutative ring, J. Algebra, 159 (1993), 500-514.
- [2] D. F. Anderson and A. Badawi, The total graph of a commutative ring, J. Algebra, 320 (2008), 2706-2719.
- [3] D. F. Anderson and P. F. Livingston, The zero-divisor graph of a com- mutative ring, J. Algebra, 217 (1999), 437-447.
- [4] P. J. Allen, A fundamental theorem of homomorphisms for semirings, Proc. Amer. Math. Soc. 21 (1969), 412-416.
- [5] I. Beck, Coloring of a commutative ring, J. Algebra, 116 (1988), 208-226.
- [6] S. Ebrahimi Atani, The ideal theory in quotients of commutative semir- ings, Glas. Math., 42 (2007), 301-308.
- [7] S. Ebrahimi Atani, The zero-divisor graph with respect to ideals of a com- mutative semiring, Glas. Math., 43 (2008), 309-320.
- [8] S. Ebrahimi Atani, An ideal-based zero-divisor graph of a commutative semiring, Glas. Math., 44 (1) (2009), 141-153.
- [9] S. Ebrahimi Atani and R. Ebrahimi Atani, Some remarks on partitioning semirings, An. St. Univ. Ovidius Constanta, 18(1) (2010), 49-62.
- [10] S. Ebrahimi Atani and S. Habibi, The total torsion element graph of a module over a commutative ring, An. St. Univ. Ovidius Constanta, 19(1) (2011), 23-34.
- [11] J. S. Golan, The theory of semirings with applications in mathematics and theoretical computer Science, Pitman Monographs and Surveys in Pure and Applied Mathematics, Longman Scientific and Technical, Harlow UK, (1992).
- [12] J. S. Golan, Semirings and their Applications, Kluwer Academic Publish- ers, Dordrecht, (1999).
- [13] S. B. Mulay, Cycles and symmetries of zero-divisors, Comm. Algebra, 30(7) (2002), 3533-3558.