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• W2207020108 abstract "In this paper we take a natural homomorphism f M : U Hom R ( M , N ) → HomU ( UM , U N ) where U is an R-Algebra , R=CenU and M , N are any two R-modules.Here we have shown that 1. If P is any projective module then f P is a monomorphism. 2. If G be any generator then f ) ( n G is an epimorphism. 3. If M be a generator and N is any free module then f ) (M TrN is always a monomorphism. 4. If M is a generator and N is any finitely generated free R-module then f ) (M TrN is an isomorphism. 5. If M be any artinian module such that it is subdirect product of simple module then f M is monomorphism iff for each submodule K , f K is monomorphism. 6. Let M be a generator and N is any free module if U is finitely presented then f ) (M TrN is an isomorphism. 7. Let M be any left R-module such that f ) ( Re / N j M M is an isomorphism then f M is an isomorphism." @default.
• W2207020108 created "2016-06-24" @default.
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• W2207020108 date "2015-05-01" @default.
• W2207020108 modified "2023-09-23" @default.
• W2207020108 title "On Tensor product of R-Algebra and R-Homomorphism with Projectivity" @default.
• W2207020108 cites W2339035089 @default.
• W2207020108 doi "https://doi.org/10.6084/m9.figshare.1400451.v1" @default.
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