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Preprint Number 1410
1419. A. A. Stepanova, G. I. Baturin Regular S-acts with primitive normal and antiadditive theories E-mail: 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. Mathematics Subject Classification: Keywords and phrases: |
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