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

Kim, Hwan-Koo

doi:10.4134/BKMS.2011.48.2.365

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

Journal title : Bulletin of the Korean Mathematical Society
Volume 48, Issue 2, 2011, pp.365-375
Publisher : The Korean Mathematical Society
DOI : 10.4134/BKMS.2011.48.2.365

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 ${$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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