Cross varieties of aperiodic monoids with commuting idempotents

A variety of algebras is called Cross if it is finitely based, finitely generated, and has finitely many subvarieties. In this paper, we classify all Cross varieties of aperiodic monoids with commuting idempotents.

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Publication Details

Journal
International Journal of Algebra and Computation
Published
2024-12-20
DOI
https://doi.org/10.1142/s021819672550002x
Primary Topic
semigroups and automata theory
Type
article
Field-Weighted Citation Impact
0.00

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article

Cross varieties of aperiodic monoids with commuting idempotents

S. V. Gusev
International Journal of Algebra and Computation
semigroups and automata theory
article

Cross varieties of aperiodic monoids with commuting idempotents

S. V. Gusev
article en

Abstract

A variety of algebras is called Cross if it is finitely based, finitely generated, and has finitely many subvarieties. In this paper, we classify all Cross varieties of aperiodic monoids with commuting idempotents.

International Journal of Algebra and ComputationVol. 35(01)
Ural Federal University (RU)
Ministry of Science and Higher Education of the Russian Federation
Zero hunger
Openalex Percentile: Top 72%
semigroups and automata theory
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Cross varieties of aperiodic monoids with commuting idempotents — S. V. Gusev · International Journal of Algebra and Computation (2024) | TGRS Research Map | TGRS