In this paper we develop the homological properties of the Gorenstein $(\Le,\A) $-flat $ R $-
modules $\GF_ {(\Flat (R),\A)} $ proposed by Gillespie,\linebreak where the class …

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 …

Abstract Let T=(A 0 UB) be a formal triangular matrix ring, where A and B are rings and U is
a (B, A)-bimodule. We prove that, if T is a right coherent ring, UB has finite flat dimension, UA …

Let R be a ring and let 𝒮𝒢ℱ be the class of strongly Gorenstein at right R-modules. We call a
right R-module M a weak Gorenstein cotorsion module if M is in the class 𝒮𝒢ℱ⊥. Properties …

In this paper, we study injective dimension and Gorenstein injective dimension over local
ring homomorphisms. Some well-known results are generalized. For example, the Bass …

Projectively coresolved Gorenstein flat modules were introduced by Saroch and Stovicek
and were shown to be Gorenstein projective. We give characterizations of Gorenstein …

In basic homological algebra, the projective, injective and flat dimensions of modules play
an important and fundamental role. In this paper, the closely related Gorenstein projective …

COHERENT POWER SERIES RING AND WEAK GORENSTEIN GLOBAL DIMENSION Page 1
Glasgow Math. J. 55 (2013) 533–536. C Glasgow Mathematical Journal Trust 2013 …

Let R be a ring and X a complex of R-modules. We investigate the relationship between the
dimensions Gppd (X) and Gpd (X) of X, where Gppd (X) is the dimension related to special …

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