The Journal of the Indian Mathematical Society

P. Dheena ¹, C. Jenila ¹

Affiliations
1 Department of Mathematics, Annamalai University, Annamalainagar - 608 002, IN

Abstract

It has been shown that in a near-semiring (S,+,.) with (S,+) as an inverse semigroup, the near-semiring S is strongly regular if and only if S is regular and reduced. In a near-semiring (S,+,.) with (S,+) as an inverse semigroup, equivalent conditions are obtained such that (S,.) is also an inverse semigroup.

Keywords

Inverse Semigroup, Reduced, Regular, Strongly Regular.

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