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A Simple Study on the Structures of Zeroid and Ordered Semirings

Journal: International Research Journal of Advanced Engineering and Science (IRJAES) (Vol.1, No. 4)

Publication Date:

Authors : ; ; ;

Page : 26-28

Keywords : Band; K-regular semiring; maximum; positive totally ordered.;

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Abstract

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.

Last modified: 2016-10-09 22:38:48