Regular S-acts with primitive normal and antiadditive theories
Logic
2018-04-26 v1
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.
Keywords
Cite
@article{arxiv.1804.09353,
title = {Regular S-acts with primitive normal and antiadditive theories},
author = {A. A. Stepanova and G. I. Baturin},
journal= {arXiv preprint arXiv:1804.09353},
year = {2018}
}