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 Semi-divisoriality of Hom-modules and injective cogenerator of a quotient category Bull. Korean Math. Soc. 2011 Vol. 48, No. 2, 365-375 https://doi.org/10.4134/BKMS.2011.48.2.365Printed 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 Downloads: Full-text PDF