Axiomatizability of the Class of Subdirectly Irreducible S-Acts over a Commutative Monoid

被引:0
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作者
A. A. Stepanova
E. L. Efremov
机构
[1] Far Eastern Federal University,
来源
Algebra and Logic | 2023年 / 62卷
关键词
-act; commutative monoid; subdirectly irreducible ; -act; axiomatizable class;
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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:21
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