SLENDER SEMIGROUPS

Abstract We define the concept of slenderness for arbitrary semigroups containing at least one idempotent element, and give necessary and sufficient conditions for semigroups to be slender. We describe the semigroup of all homomorphisms of the direct product of a nonempty family of groups into a slender rectangular abelian group.

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Publication Details

Journal
Bulletin of the Australian Mathematical Society
Published
2026-04-21
DOI
https://doi.org/10.1017/s0004972726101166
Primary Topic
semigroups and automata theory
Type
article
Field-Weighted Citation Impact
0.00
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article

SLENDER SEMIGROUPS

Attila Nagy
Bulletin of the Australian Mathematical Society
semigroups and automata theory
article

SLENDER SEMIGROUPS

Attila Nagy
article en

Abstract

Abstract We define the concept of slenderness for arbitrary semigroups containing at least one idempotent element, and give necessary and sufficient conditions for semigroups to be slender. We describe the semigroup of all homomorphisms of the direct product of a nonempty family of groups into a slender rectangular abelian group.

Bulletin of the Australian Mathematical Society
Budapest University of Technology and Economics (HU)
Reduced inequalities
Openalex Percentile: Top 5%
semigroups and automata theory
DOIOpen Access PDFOpenAlex
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