A SPECIAL CASE OF NEAR – IDEMPOTENT SEMIGROUPS

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T.N. Kavitha

Abstract

In a previous paper we introduced a near idempotent semigroup and studied its structure through the relations  λ, Ï and  δ.  In this paper, we introduce a new pair of relations   λr   and   Ïr   on a near idempotent semigroup.  In general   λr   and   Ïr   are not reflexive relations on a near idempotent semigroup and hence not equivalence relations. We study the special case when  λr  becomes reflexive on a near idempotent semigroup.  This gives rise to a special case of a near idempotent semigroup, namely, a right near idempotent semigroup.

Key words: Near idempotent semigroup, right near idempotent semigroup, reflexive relations, and equivalence relations

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How to Cite
Kavitha, T. (2018). A SPECIAL CASE OF NEAR – IDEMPOTENT SEMIGROUPS. Journal of Global Research in Mathematical Archives(JGRMA), 5(5), 54–59. Retrieved from https://jgrma.com/index.php/jgrma/article/view/473
Section
Research Paper