Main Article Content
Abstract
Article Details
References
- Abian, A., "Direct product decomposition of commutative semisimple rings", Proc. Amer. Math. Soc. 24(1970) 502 - 507.
- Anderson, D.F. and LaGrange, J.D., "Abian's poset and the ordered monoid of annihilator classes in a reduced commutative ring", J. Alg. Appl. 13(2014), DOI: 10.1142/S0219498814500704.
- Atani, S.E., "The zero divisor graph with respect to ideals of a commutative semiring", Glasnik Matematicki, 43(2008) 309 - 320.
- Craven, T.C., "Ordering on semirings", Semigroup Forum, 43(1991) 45 - 52.
- Chacron, M., "Direct product of division rings and a paper of Abian", Proc. Amer. Math. Soc. 29(1971) 259 - 262.
- Golan, J.S., Semirings and Their Applications, Springer, Netherlands, 1999.
- Han, J.S., Kim, H.S. and Neggers, J., "Semiring orders in a semiring", Appl. Math. Inf. Sci. 6(2012) 99 - 102.
- Johnson, C.S., Jr. and McMorris, F.R., "Abian's order relation for semigroups", Semigroup Forum, 16(1978) 147 - 151.
- Joshi, V., "Zero divisor graph of a poset with respect to an ideal", Order, 29(2012) 499 -506.
- Khatun, S., Nayeem, S.M.A. and Sircar, J., "Abian's relation on semiring", Southeast Asian Bull. Math., to appear.
References
Abian, A., "Direct product decomposition of commutative semisimple rings", Proc. Amer. Math. Soc. 24(1970) 502 - 507.
Anderson, D.F. and LaGrange, J.D., "Abian's poset and the ordered monoid of annihilator classes in a reduced commutative ring", J. Alg. Appl. 13(2014), DOI: 10.1142/S0219498814500704.
Atani, S.E., "The zero divisor graph with respect to ideals of a commutative semiring", Glasnik Matematicki, 43(2008) 309 - 320.
Craven, T.C., "Ordering on semirings", Semigroup Forum, 43(1991) 45 - 52.
Chacron, M., "Direct product of division rings and a paper of Abian", Proc. Amer. Math. Soc. 29(1971) 259 - 262.
Golan, J.S., Semirings and Their Applications, Springer, Netherlands, 1999.
Han, J.S., Kim, H.S. and Neggers, J., "Semiring orders in a semiring", Appl. Math. Inf. Sci. 6(2012) 99 - 102.
Johnson, C.S., Jr. and McMorris, F.R., "Abian's order relation for semigroups", Semigroup Forum, 16(1978) 147 - 151.
Joshi, V., "Zero divisor graph of a poset with respect to an ideal", Order, 29(2012) 499 -506.
Khatun, S., Nayeem, S.M.A. and Sircar, J., "Abian's relation on semiring", Southeast Asian Bull. Math., to appear.