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In this article, we study tensor product rings Q⊗ RP, where QR and RP are R-modules for an
associative ring R, and Rees matrix rings M. We will show that if S is an idempotent ring then …

Let $ R $ be a Noetherian ring and let $ C $ be a semidualizing $ R $-module. In this paper,
we are concerned with the tensor and torsion product of $ C $-injective modules. Firstly, it is …

We develop an extension of the theory of idempotents in tensor tringulated category to deal
with action of tensor triangulated category on another triangulated category. As an …

The category gp (Λ) of Gorenstein-projective modules over tensor algebra Λ= A⊗ k B can be
described as the monomorphism category mon (B, gp (A)) of B over gp (A). In particular …

Let $ R $ be a commutative Noetherian local ring. We study tensor products involving a
finitely generated $ R $-module $ M $ through the natural action of its endomorphism ring. In …

The purpose of this note is to study some tensorproducts of trivial or semitrivial extensions of
commutative rings (for definition see below). In particular, we shall examine their Gorenstein …

Let A and B be associative rings with unit, Mod-A and Mod-B categories of unital right A-
modules and unital right B-modules respectively. For an AB-bimodule* UB, we consider two …

Let (S, n) be a commutative noetherian local ring and ω∈ n be non-zerodivisor. This paper
deals with the behavior of the category Mon (ω, P) consisting of all monomorphisms …