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

Authors :: Hwankoo Kim
Source :: Bulletin of the Korean Mathematical Society. 48:365-375
Publication Year :: 2011
Publisher :: The Korean Mathematical Society, 2011.
Abstract: In this paper, we study w-nullity and (co-)semi-divisoriality of Hom-modules and the semi-divisorial envelope of HomR(M;N) under suitable conditions on R;M; and N. We also investigate an injective cogenerator of a quotient category.

Subjects :: Discrete mathematics
Pure mathematics
Quotient category
General Mathematics
Torsion theory
Injective module
Injective cogenerator
Envelope (motion)
Mathematics

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