Semiring with Identity
C. VenkataLakshmi, T. Vasanthi · International Journal of Computer Applications · 2014
In this paper, we study the properties of semiring with identity ab + a = a and also study the properties of ordered semiring satisfying the identity ab + a = a, for all a, b in S.This paper contains mainly two sections.In section 1, the structure of semirings satisfying the identity ab + a = a, for all a, b in S are studied.In section 2, we characterize totally ordered semirings satisfying the identity ab + a = a, for all a, b in S.