2018•International Journal of Engineering & TechnologyOpen access

A Study on Regular Semigroups and its Idempotents

Julie Thomas, K. Indhira, V.M. Chandrasekaran

Abstract

An idempotent of a semigroup T is an element e in T such that In many semigroups, idempotents can be recognized easily. Thus it plays an important role in the structure of semigroups especially on regular semigroups. This article reviews about some research work done about the structure of regular semigroups with a special emphasis on its idempotents.

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Key concepts: Idempotence, Semigroup, Mathematics, Special classes of semigroups, Pure mathematics, Algebra over a field, Regular semigroup, Krohn–Rhodes theory