We consider the preservation property of the homomorphism and tensor product functors for
quasi-isomorphisms and equivalences of complexes. Let X and Y be two classes of R …

Let $ M $ be a non-zero finitely generated module over a finite dimensional commutative
Noetherian local ring $(R,\mathfrak {m}) $ with dim $ _R (M)= t $. Let $ I $ be an ideal of $ R …

We fix a commutative ring k and a group G. To include infinite coverings of kalgebras into
consideration we usually regard k-algebras as locally bounded k-categories with finite …

Full article: On Covers and Envelopes under Hom and Tensor Functors Skip to Main Content
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We introduce and study a new class of morphisms which includes morphisms represented
by monomorphisms in the sense of Auslander and Bridger. As an application, we give not …

The notion of $\mathcal {K} $-extending modules was defined recently as a proper
generalization of both extending modules and Rickart modules. Let $ M $ be a right $ R …

During a recent course in ring theory, I asked a student of mine to find examples of a ring
and modules to show that the two conditions for a function to be a module homomorphism …