On right unipotent semigroups II

Author:

Venkatesan P. S.

Abstract

We describe two congruences α and γ contained in ℒ on an arbitrary orthodox semigroup. Let S be a right unipotent semigroup. We show that (i) α is an inverse semigroup congruence and γ is the finest fundamental inverse semigroup congruence on S, (ii) S is a union of groups if and only if ℒ on S and (iii) S is a band of groups if and only if ℒ on S.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference14 articles.

1. On a regular semigroup in which the idempotents form a band

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4. The Maximum Idempotent-Separating Congruence on an Inverse Semigroup

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Primitive orthodox semigroups;Semigroup Forum;1979-12

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