The set of idempotents of a completely regular semigroup as a binary algebra

Author:

Broeksteeg Raymond

Abstract

A semigroup S is called E-solid if and only if for all idempotents e, f, g ∈ S such that e L f R g there exists an idempotent h ∈ S such that e R h L g. Each completely regular semigroup is E-solid. We characterise the idempotents of an arbitrary E-solid regular semigroup as a set with a binary operation on it satisfying a given finite set of identities.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference12 articles.

1. [1] Broeksteeg R. , ‘The structure of solid binary algebras’, (preprint).

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1. Structure theory of regular semigroups;Semigroup Forum;2019-11-06

2. The structure of solid binary algebras;Algebra Universalis;1996-12

3. E-solid regular semigroups and solid binary algebras;Bulletin of the Australian Mathematical Society;1995-02

4. A concept of variety for regular biordered sets;Semigroup Forum;1994-12

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