Let R be a ring. It is reasonable to use a strict 𝒲𝒳-resolution of a right R-module M of finite 𝒳-
projective dimension, where 𝒳 denotes a subcategory of right R-modules closed under …

We derive in the paper the tensor product functor $-\otimes_R-$ by using proper $\mathcal
{G}\mathcal {P} _C $-resolutions, where $ C $ is a semidualizing module. After giving …

In this article, we study finite Gorenstein homological dimensions of complexes with respect
to a semidualizing module. A special attention is paid to the dimensions of homologically …

Based on the analysis of Tate and generalized Tate cohomology in abelian categories, in
this note, we consider the balance for Tate and generalized Tate cohomology. Some …

This work studies the notions of k-torsionless modules and reduced G-perfect modules in a
more general setting, relative to a semidualizing module. We consider various aspects and …

In this paper we are concerned with absolute, relative and Tate Tor modules with respect to
a fixed semidualizing module over commutative Noetherian local rings. Motivated by a result …

In this paper we are concerned with absolute, relative and Tate Tor modules. In the first part
of the paper we generalize a result of Avramov and Martsinkovsky by using the Auslander …

GENERALIZED TILTING MODULES OVER RING EXTENSION 1. Introduction Let ξ: R → Γ be
a ring homomorphism, then the ring Γ is cal Page 1 Czechoslovak Mathematical Journal, 69 …

Wakamatsu tilting modules over ring extension Page 1 Journal of Algebra and Its Applications
Vol. 18, No. 10 (2019) 1950198 (9 pages) c© World Scientific Publishing Company DOI …

This thesis will study the various roles that quasi-Gorenstein modules and their properties
play in the study of homological dimensions and linkage of modules. To that effect we begin …