We prove that (a) if R is a commutative coherent ring, the weak global dimension of R equals
the supremum of the flat (or (FP–) injective) dimensions of the simple R-modules;(b) if R is …

The behavior of homological dimensions 1 Introduction Page 1 Mathematics Scientific Journal
Vol. 7, No. 1, (2011), 1-10 The behavior of homological dimensions M. Ansaria,1, E. Hosseini …

We obtain various characterizations of commutative Noetherian local rings (R, m) in terms of
homological dimensions of certain finitely generated modules. Our argument has a series of …

It is well known that the right global dimension of a ring R is usually computed by the right
derived functors of Hom and the left projective resolutions of right R-modules. In this paper …

This thesis is devoted to the study of the homological dimension, homological homogeneity
and injective homogeneity of the skew group rings, crossed products, group graded rings …

We study, in this article, the FGT-injective dimensions of Π-coherent rings. If R is right Π-
coherent, and TI (resp. TF) stands for the class of FGT-injective (resp. FGT-flat) R-modules …

Homological dimensions of some pirings Page 1 COMMJNICATIONS IN ALGEBRA, 8(7),
685-696 (1980) HONOLOGICAL DINENSIONS OF SOME PI RINGS. S. Jondrup. Department …

Let $ G $ be a finite group acting on a ring $ R $ and $ H $ a subgroup of $ G $. In this paper
we compare some homological dimensions over the skew group rings $ RG $ and $ RH …

Let R be a commutative ring with nonzero identity and Γ (or sometimes G) a commutative
monoid. The concept of coherent rings is one of the most significant notions in homological …