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 …

In [21], Jhilal and Mahdou defined a commutative unital ring R to be an (n, d)-perfect ring, if
every n-presented module with flat dimension at most d, has projective dimension at most d …

Abstract Assume that (X, O _X)(X, OX) is an arbitrary scheme. The concept of the big (resp.
little) finitistic flat dimension FFD (X)(resp. fFD (X)) of X will be introduced. It is shown that if X …

If R is a right coherent ring, then left R-modules have covers by submodules of flat R-
modules if and only if all injective left R-modules have flat covers. This is the case if R is …

In this paper, we extend the notions of n-FP-injective and n-flat modules to that of complexes
which we call n-FP-injective and n-flat complexes, respectively and we show that the class of …

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 …

In this paper, we introduced two concepts. A module M is said to be purely quasi-injective
(resp. quasi-cotorsion) if it is fully invariant in its pure-injective envelope (resp. if it is flat and …

Let R be a commutative noetherian ring. We give criteria for a complex of cotorsion flat R-
modules to be minimal, in the sense that every self homotopy equivalence is an …