A SPECIAL CASE OF NEAR – IDEMPOTENT SEMIGROUPS

T.N. Kavitha

Abstract


In a previous paper we introduced a near idempotent semigroup and studied its structure through the relations  λ, ρ and  δ.  In this paper, we introduce a new pair of relations   λr   and   ρr   on a near idempotent semigroup.  In general   λ and   ρr   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

Full Text:

PDF

Refbacks

  • There are currently no refbacks.


Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

CC BY-SA

Free Web Counter