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.
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页码：179 / 200
页数：22
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