Cross varieties of aperiodic monoids with commuting idempotents
S.V. Gusev
TL;DR
This paper classifies all Cross varieties of aperiodic monoids with commuting idempotents, providing a comprehensive understanding of their algebraic structure and subvariety organization.
Contribution
It offers the first complete classification of Cross varieties within this specific class of aperiodic monoids with commuting idempotents.
Findings
Complete classification of Cross varieties achieved
Identification of finitely many subvarieties in each class
Clarification of algebraic properties of these monoids
Abstract
A variety of algebras is called Cross if it is finitely based, finitely generated, and has finitely many subvarieties. In present article, we classify all Cross varieties of aperiodic monoids with commuting idempotents.
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Taxonomy
Topicssemigroups and automata theory · Advanced Algebra and Logic · Rings, Modules, and Algebras