AXIOMATIZABILITY OF THE CLASS OF SUBDIRECTLY IRREDUCIBLE S-ACTS OVER A COMMUTATIVE MONOID

被引：0

作者：

Stepanova, A. A. ^{[1
]}

Efremov, E. L. ^{[1
]}

机构：

[1] Far Eastern Fed Univ, Vladivostok, Russia

来源：

ALGEBRA AND LOGIC | 2023年 / 62卷 / 02期

关键词：

S-act; commutative monoid; subdirectly irreducible S-act; axiomatizable class;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An axiomatizability criterion is found for the class of subdirectly irreducible S-acts over a commutative monoid. As a corollary, a number of properties are presented which a commutative monoid should satisfy provided that the class of subdirectly irreducible acts over it is axiomatizable. The question about a complete description of monoids over which the class of subdirectly irreducible acts is axiomatizable remains open even for the case of a commutative monoid.

引用

页码：179 / 200

页数：22

共 35 条

[31] MONOIDS OVER WHICH ALL REGULAR RIGHT S-ACTS ARE WEAKLY INJECTIVE
Moon, Eunho L.
KOREAN JOURNAL OF MATHEMATICS, 2012, 20 (04): : 423 - 431
[32] EVERY CLASS OF S-ACTS HAVING A FLATNESS PROPERTY IS CLOSED UNDER DIRECTED COLIMITS
Qiao, H.
Wang, L.
Ma, X.
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2016, 42 (02): : 341 - 351
[33] CLASS OF SQUARE INTEGRABLE IRREDUCIBLE UNITARY REPRESENTATIONS OF SOME LINEAR GROUPS OVER COMMUTATIVE P-FIELDS
LAHA, RG
AMERICAN JOURNAL OF MATHEMATICS, 1976, 98 (01) : 183 - 196
[34] CLASS OF SQUARE-INTEGRABLE IRREDUCIBLE UNITARY REPRESENTATIONS OF SOME LINEAR GROUPS OVER COMMUTATIVE PARA-FIELDS
LAHA, RG
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 80 (04) : 718 - 719
[35] On covers of acts over monoids with condition (PF′′)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(PF'')$$\end{document} and envelopes of S-acts
Husheng Qiao
Tingting Zhao
Semigroup Forum, 2021, 102 (3) : 794 - 808

← 1 2 3 4 →