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.
Hwankoo Kim
Hoseo University
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
2018; 55(4): 1007-1012
2018; 55(2): 649-657
2002; 39(4): 577-587
2007; 44(4): 771-775
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd