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http://dx.doi.org/10.4134/BKMS.2011.48.2.365

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

Kim, Hwan-Koo (Department of Information Security Hoseo University)
Publication Information
Bulletin of the Korean Mathematical Society / v.48, no.2, 2011 , pp. 365-375 More about this Journal
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;
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