There are different approaches to characterizing the structures of commutative rings: the
category of modules over commutative rings, homology theories, theories of the star …

Let R be a ring. A left R-module M (resp., right R-module N) is called weak injective (resp.,
weak flat) if (resp.,) for every super finitely presented left R-module F. By replacing finitely …

Let R be a commutative ring. An R-module M is said to be super finitely presented if there is
an exact sequence of R-modules where each P i is finitely generated projective. In this …

An integral domain R is called a Gorenstein Prüfer (G-Prüfer) domain if it is coherent and
every submodule of a flat R-module is Gorenstein flat. In this paper, we show that every n-FC …

Let R be a ring and n, k two non-negative integers. In this paper, we introduce the concepts
of n-weak injective and n-weak flat modules and via the notion of special super finitely …

In this note, we mainly discuss the Gorenstein Prüfer domains. It is shown that a domain is a
Gorenstein Prüfer domain if and only if every finitely generated ideal is Gorenstein …

It was shown by Kang (1989) that a domain R is a Krull domain if and only if R is a Mori
domain and a P v MD. In this paper, we extend this result to Gorenstein multiplicative ideal …

We study some homological properties of Gorenstein FP∞-injective modules, and we prove
(1) a ring R is not necessarily coherent if every Gorenstein FP∞-injective R-module is …

In this paper, we define a class of relative derived functors in terms of left or right weak flat
resolutions to compute the weak flat dimension of modules. Moreover, we investigate two …

In this paper, we prove that a domain R is an FGV-domain if every finitely generated torsion-
free R-module is strongly copure projective, and a coherent domain is an FGV-domain if and …