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Throughout this paper, R will denote a commutative noetherian ring. If M is an R-module, we
can construct an injective resolvent of M using injective precovers (see Enochs [5]). If we use …

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 …

One of the main results of this paper is the characterization of the rings over which all
modules are strongly Gorenstein projective. We show that these kinds of rings are very …

By investigating the properties of some special covers and envelopes of modules, we prove
that if R is a Gorenstein ring with the injective envelope of RR flat, then a left R-module is …

In this article, we study the relation between m-strongly Gorenstein projective (resp.,
injective) modules and n-strongly Gorenstein projective (resp., injective) modules whenever …

Let R be a graded ring and n⩾ 1 be an integer. We introduce and study the notions of
Gorenstein n-FP-gr-injective and Gorenstein n-gr-flat modules by using the notion of special …

We present results on reflexive modules over Gorenstein rings which generalize results of
Serre and Samuel on reflexive modules over regular local rings. We characterize Gorenstein …

In\cite {Ouarghi}, the authors discuss the rings over which all modules are strongly
Gorenstein projective. In this paper, we are interesting to an extension of this idea. Thus, we …

We prove that for a Frobenius extension, if a module over the extension ring is Gorenstein
projective, then its underlying module over the base ring is Gorenstein projective; the …