SEMI-DIVISORIALITY OF HOM-MODULES AND INJECTIVE COGENERATOR OF A QUOTIENT CATEGORY

Title & Authors
SEMI-DIVISORIALITY OF HOM-MODULES AND INJECTIVE COGENERATOR OF A QUOTIENT CATEGORY
Kim, Hwan-Koo;

Abstract
In this paper, we study w-ity and (co-)semi-divisoriality of Hom-modules and the semi-divisorial envelope of $\small{Hom_R}$(M,N) under suitable conditions on R, M, and N. We also investigate an injective cogenerator of a quotient category.
Keywords
(co-)semi-divisorial;w-null;cogenerator;Hom-module;H-domain;Krull domain;torsion theory;
Language
English
Cited by
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