In this paper we mainly study the homological properties of dual modules over k-Gorenstein
rings. For a right quasi k-Gorenstein ring Λ, we show that the right self-injective dimension of …

In this paper, we prove that the Gorenstein analogue of the well-known Auslander's theorem
on the global dimension holds true. Namely, we prove that the Gorenstein global dimension …

Let R be a commutative Noetherian ring, and let C be a semidualizing R-module. For R-
modules M and N, the notions grade PC (M, N) and grade IC (M, N) are introduced as the …

In this paper, we first study the properties of strongly Gorenstein flat (resp. Gorenstein FP-
injective) modules which are special Gorenstein projective (resp. Gorenstein injective) …

A semi-dualizing module over a commutative noetherian ring A is a finitely generated
module C with RHomA (C, C)≃ A in the derived category D (A). We show how each such …

We present an alternative way of measuring the Gorenstein projective (resp., injective)
dimension of modules via a new type of complete projective (resp., injective) resolutions. As …

Given a semidualizing module C over a commutative Noetherian ring, Holm and Jørgensen
[Semi-dualizing modules and related Gorenstein homological dimensions, J. Pure Appl …

Let S and R be rings and SCR a semidualizing bimodule. We investigate the relation
between the GC-syzygy with the C-syzygy of a module as well as the relation between the …

In this paper, we study Gorenstein injective, projective, and flat dimensions over a Cohen-
Macaulay local ring R admitting a dualizing module. In particular, we characterize these …

The theory of Gorenstein flat dimension is not complete since it is not yet known whether the
category 𝒢ℱ (R) of Gorenstein flat modules over a ring R is projectively resolving or not …