GORENSTEIN DIMENSIONS MODULO A REGULAR ELEMENT Page 1 J. Aust. Math. Soc. 99
(2015), 260–266 doi:10.1017/S1446788714000871 GORENSTEIN DIMENSIONS MODULO A …

In this article, we establish, as a generalization of a result on the classical homological
dimensions of commutative rings, an upper bound on the Gorenstein global dimension of …

Let R be a ring and X a complex of R-modules. We give some characterizations of the
dimension of X related to special Gorenstein projective precovers. Let R be a ring such that …

A fintitely generated R-module C is semidualizing if R= HomR (C, C) and [special charactes
omitted](C, C)= 0. In this dissertation we build off of Takahashi and White's P C-projective …

Let (A, B) be a cotorsion pair in R-Mod. We define and study notions of A dimension and B
dimension of unbounded complexes, which is given by means of dg-projective resolution …

arXiv:0903.5013v2 [math.AC] 5 Nov 2009 Page 1 arXiv:0903.5013v2 [math.AC] 5 Nov 2009
GORENSTEIN GLOBAL DIMENSION OF AN AMALGAMATED DUPLICATION OF A COHERENT …

A complex C is called Gorenstein injective if there exists an exact sequence of
complexes⋯→ I− 1→ I0→ I1→⋯ such that each Ii is injective, C= Ker (I0→ I1) and the …

Let (R, 𝔪) be a commutative Noetherian local ring and M an R-module which is relative
Cohen-Macaulay with respect to a proper ideal 𝔞 of R, and set n:= ht M𝔞. We prove that …

We study homological aspects of Gorenstein flat modules over a ring with respect to a
duality pair (L, A). These modules are defined as cycles of exact chain complexes with …