Let R be a commutative Cohen–Macaulay ring, and let C be a semidualizing module of R. In
this paper, we show that C is generically dualizing if and only if the tensor products of …

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 …

Let R be a commutative noetherian local ring. A finitely generated R-module C is
semidualizing if it is self-orthogonal and\rm Hom _R (C, C) ≅ R. We prove that a Cohen …

We establish a characterization of dualizing modules among semidualizing modules. Let $
R $ be a finite dimensional commutative Noetherian ring with identity and $ C $ a …

Pure-injectivity of Tensor Products of Modules Page 1 Algebra Colloquium c© 2014 AMSS
CAS & SUZHOU UNIV Algebra Colloquium 21 : 1 (2014) 151–156 Pure-injectivity of Tensor …

A finitely generated module C over a commutative noetherian ring R is semidualizing if Hom
R (C, C)≅ R and for all i≥ 1. For certain local Cohen–Macaulay rings (R, 𝔪), we verify the …

Yoneda raised the question of whether the tensor product of injective modules is injective.
Ishikawa showed that for a commutative noetherian ring R this is the case if the injective …

This paper aims at generalizing the notions of “Auslander dual”,“k-torsionless” and “k-th
syzygy” modules to the relative setting with respect to a semidualizing module. It is shown …

We prove that neat and coneat submodules of a module coincide when is a commutative
ring such that every maximal ideal is principal, extending a recent result by Fuchs. We …

A semidualizing module is a generalization of Grothendieck's dualizing module. For a local
Cohen-Macaulay ring $ R $, the ring itself and its canonical module are always realized as …