Abstract

Semiring theory is one of the most developing branch of Mathematics with wide application in many disciplines such as Computer science, Coding theory, Topological space and many researchers studies different structure of semirings like Boolean like semirings, ternary semirings, complemented ternary semirings, gamma semirings, Complemented semirings etc . In this paper, we discuss some properties of Complemented semirings. We determine the additive and multiplicative structures of Complemented semirings by assuming different properties on the additive (multiplicative) structures. Keywords: Band, left singular, right singular, multiplicatively sub idempotent, commutative, rectangular band.

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