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A Simple Study on the Structures of Zeroid and Ordered Semirings
2016
International Research Journal of Advanced Engineering and Science Journal of Advanced Engineering and Science
unpublished
Preserved Fulltext
In this paper we have proved that Suppose S is a semiring in which (S, +) be zeroid then a + ab + b = 2b in the following cases. (i) If (S, ·) is right singular semigroup and (ii) If (S, ·) is a band. Also we have established that If S is a totally ordered semiring with multiplicative identity 1 and (S, •) is p.t.o, then (S, +) is non-negatively ordered.
fatcat:n4qviovpkjg4vpndakh2vzylui