Regular S-acts with primitive normal and antiadditive theories
- Resource Type
- Working Paper
- Authors
- Stepanova, A. A.; Baturin, G. I.
- Source
- Subject
- Mathematics - Logic
- Language
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.