Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2011; 48(2): 365-375

Printed March 1, 2011

https://doi.org/10.4134/BKMS.2011.48.2.365

Copyright © The Korean Mathematical Society.

Semi-divisoriality of Hom-modules and injective cogenerator of a quotient category

Hwankoo Kim

Hoseo University

Abstract

In this paper, we study $w$-nullity and (co-)semi-divisoriality of Hom-modules and the semi-divisorial envelope of ${\bf Hom}_R(M, N)$ 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

MSC numbers: 13A15, 13D30

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