[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.c210114

CO-UNIFORM AND HOLLOW S-ACTS OVER MONOIDS

Khosravi, Roghaieh (Department of Mathematics Faculty of Sciences Fasa University)
Roueentan, Mohammad (College of Engineering Lamerd Higher Education Center)

Publication Information

Communications of the Korean Mathematical Society / v.37, no.2, 2022 , pp. 347-358 More about this Journal

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 subacts, 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-acts.

Keywords

Monoids; S-acts; superfluous; coessential; hollow;

Citations & Related Records

Reference

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