Small and countable inclusive varieties of semigroups

IF 0.7 3区数学 Q2 MATHEMATICS

Semigroup Forum Pub Date : 2024-05-28 DOI:10.1007/s00233-024-10438-6

G. Mashevitzky

引用次数: 0

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 also describe small inclusive varieties, that is, inclusive varieties with finite lattices of their inclusive subvarieties, of completely regular semigroups and study inclusive varieties of completely regular semigroups with countable lattices of their inclusive subvarieties

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半群的小包容和可数包容品种

这是一类严格介于同一性和普遍正公式之间的普遍公式。这些普遍公式可以写成 \(X^+\)子集的同一等式。由完全相同的内涵式定义的半群类被称作内含群。我们还描述了完全正则半群的小包容品种，即其包容子变量具有有限网格的包容品种，并研究了其包容子变量具有可数网格的完全正则半群的包容品种。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Semigroup Forum 数学-数学

CiteScore

1.50

自引率

14.30%

发文量

审稿时长

12 months

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