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Preprint Number 1410

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1419. A. A. Stepanova, G. I. Baturin
Regular S-acts with primitive normal and antiadditive theories
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Submission date: 25 April 2018

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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Full text arXiv 1804.09353: pdf, ps.


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