Semi-divisoriality of Hom-modules and injective cogenerator of a quotient category
Bull. Korean Math. Soc. 2011 Vol. 48, No. 2, 365-375
Printed March 1, 2011
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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