Generalization of Quasi Principally Injective S-Acts

Shaymaa Amer Abdul-Kareem, Department of Mathematics, College of Basic Education , Mustansiriyah University, Baghdad, Iraq

Quasi Small Principally Injective S-Acts, M-Cyclic Small Subacts , Fully Invariant Small Subacts , Projective Acts, Quasi Principally Injective Acts

The purpose of this paper is to introduce a new kind of generalization of quasi principally injective S-acts over monoids (QP-injective), (and hence generalized quasi injective), namely quasi small principally injective S-acts. Several properties of this kind of generalization are discussed. Some of these properties are analogous to that notion of quasi small principally injective for general modules. Characterizations of quasi small principally injective acts are considered. Conditions are investigated under which subacts are inheriting quasi small principally injective property.
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Paper ID: GRDJEV04I030002
Published in: Volume : 4, Issue : 3
Publication Date: 2019-03-01
Page(s): 1 - 4