Co-uniform and hollow S-acts over monoids
Group Theory
2021-09-27 v1
Abstract
In this paper, we first introduce the notions of superfluous and coessential subacts. Then hollow and co-uniform S-acts are defined as the acts that all proper subacts are superfluous and coessential, respectively. Also it is indicated that the class of hollow S-acts is properly between two classes of indecomposable and locally cyclic S-acts. Moreover, using the notion of radical of an S-act as the intersection of all maximal subact, the relations between hollow and local S-acts are investigated. Ultimately, the notion of a supplement of a subact is defined to characterize the union of hollow S-act.
Cite
@article{arxiv.1908.04559,
title = {Co-uniform and hollow S-acts over monoids},
author = {Roghaieh Khosravi and Mohammad Roueentan},
journal= {arXiv preprint arXiv:1908.04559},
year = {2021}
}