• ON NEAR- IDEMPOTENT SEMIGROUPS
Abstract
In this paper, we introduce what we call a near- idempotent element of a semigroup and go on to define a near- idempotent semigroup. We study its general structure by introducing relations similar to Green’s relations and obtain a decomposition of near- idempotent semigroup into a semilattice of rectangular near- idempotent semigroups.
Keywords
Semigroup, near-idempotent semigroup, rectangular near-idempotent semigroups, semilattice decom-position.
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