Regular S-acts with primitive normal and antiadditive theories

A. A. Stepanova; G. I. Baturin

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arXiv · 1804.09353

Regular S-acts with primitive normal and antiadditive theories

A. A. Stepanova·G. I. Baturin

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Abstract

In this work, we investigate the commutative monoids over which the axiomatizable class of regular S-acts is primitive normal and antiadditive. We prove that the primitive normality of an axiomatizable class of regular S-acts over the commutative monoid S is equivalent to the antiadditivity of this class and it is equivalent to the linearity of the order on a semigroup R such that an S-act SR is a maximal (under the inclusion) regular subact of the S-act SS.

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BibTeX RIS

A. A. Stepanova, G. I. Baturin. 2018-04-25. Regular S-acts with primitive normal and antiadditive theories. https://arxiv.org/abs/1804.09353

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