• NEAR COMMUTATIVE NEAR–IDEMPOTENT SEMIGROUP

T. N. Kavitha*, A. Jayalakshmi

Abstract


We have studied in our previous papers ([2], [6] and [7]) special semigroups which we call near idempotent semigroups, rectangular near- idempotent semigroups, left (right) regular near idempotent semigroups and left (right) normal near idempotent semigroups.  In this paper we introduce a near commutative near – idempotent semigroup and obtain its decomposition into near – null semigroups.


Keywords


near idempotent semigroup, near commutative near idempotent semigroup, near – null semigroup, left (right) regular near- idempotent semigroup, left (right) normal – near idempotent semigroup.

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