• STRUCTURE OF CERTAIN CLASSES OF SEMIRINGS
Abstract
In this paper, we study the properties of semirings satisfying the identity a + ab = a. It is proved that, if (S, +, . ) is a zerosumfree Semiring with additive identity 0, then a + ab = a, for all a, b in S if and only if ab = 0.
Keywords
Viterbi Semiring, E- inverse semigroup, zerosumfree semiring, left regular semigroup.
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