• SEMIRINGS SATISFYING THE IDENTITIES

T. Vasanthi*, N. Sulochana

Abstract


In this paper, we study the properties of semirings satisfying the identity a + ab = b for all a, b in S. We establish that a + b = ab = b for all a, b in S if (S, ×) is band.


Keywords


Non-negatively ordered; Non-positively ordered; PRD; IMP; Mono semiring.

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