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2020•Solid State TechnologyRequires access

Structure Of Π-Regular Г-Semigroups

K. Mrudula Devi, Viit, Visakhapatnam, Andhra Pradesh

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Abstract

-Regular semigroups were introduced by J.A.Green[3] in his paper “On the structures of semigroups”. The concepts of -Semigroups was introduced by Sen M.K. and N.K.Saha[4 ]. In this paper, some structure theorems of special class of regular  -Semigroups i.e -Regular -Semigroups are presented. It is observed that every right regular -Semigroup is right -Regular and every left (right) -Regular -Semigroup is -Regular. It is also verified that the necessary and sufficient condition for a -Semigroup is to be regular (g-regular), completely regular, completely -Regular, left and right - Regular.

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What this paper is about

-Regular semigroups were introduced by J.A.Green[3] in his paper “On the structures of semigroups”. The concepts of -Semigroups was introduced by Sen M.K. and N.K.Saha[4 ]. In this paper, some structure theorems of special class of regular  -Semigroups i.e -Regular -Semigroups are presented. It is observed that every right regular -Semigroup is right -Regular and every left (right) -Regular -Semigroup is -Regular. It is also verified that the necessary and sufficient condition for a -Semigroup is to be regular (g-regular), completely regular, completely -Regular, left and right - Regular.

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Available abstract

-Regular semigroups were introduced by J.A.Green[3] in his paper “On the structures of semigroups”. The concepts of -Semigroups was introduced by Sen M.K. and N.K.Saha[4 ]. In this paper, some structure theorems of special class of regular  -Semigroups i.e -Regular -Semigroups are presented. It is observed that every right regular -Semigroup is right -Regular and every left (right) -Regular -Semigroup is -Regular. It is also verified that the necessary and sufficient condition for a -Semigroup is to be regular (g-regular), completely regular, completely -Regular, left and right - Regular.

Key concepts: Semigroup, Mathematics, Regular semigroup, Special classes of semigroups, Class (philosophy), Pure mathematics, Discrete mathematics, Computer science

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