Small and countable inclusive varieties of semigroups

G. Mashevitzky

doi:10.1007/s00233-024-10438-6

Small and countable inclusive varieties of semigroups

G. Mashevitzky

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

The class of identical inclusions was defined by E.S. Lyapin.This is the class of universal formulas which is situated strictly between identities and universal positive formulas.These universal formulas can be written as identical equalities of subsets of X⁺. Classes of semigroups defined by identical inclusions are called inclusive varieties. We describe finite inclusive varieties of semigroups and study countable inclusive varieties of semigroups.We

Original language	English
Pages (from-to)	645-657
Number of pages	13
Journal	Semigroup Forum
Volume	108
Issue number	3
DOIs	https://doi.org/10.1007/s00233-024-10438-6
State	Published - 1 Jun 2024

Keywords

Abelian group
Clifford semigroup
Identical inclusion
Inclusive variety
Small inclusive variety

ASJC Scopus subject areas

Algebra and Number Theory

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10.1007/s00233-024-10438-6

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Small and countable inclusive varieties of semigroups

Abstract

Keywords

ASJC Scopus subject areas

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