Co-uniform and hollow S-acts over monoids

Roghaieh Khosravi; Mohammad Roueentan

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arXiv · 1908.04559

Co-uniform and hollow S-acts over monoids

Roghaieh Khosravi·Mohammad Roueentan

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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.

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BibTeX RIS

Roghaieh Khosravi, Mohammad Roueentan. 2019-08-13. Co-uniform and hollow S-acts over monoids. https://arxiv.org/abs/1908.04559

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