0 Introduction 611 1 Left derived extension functors 612 2 Gorenstein injective modules 616
3 Resolutions and resolvents 620 4 The existence of Gorenstein injective modules 623 5 …

In this paper, we study mock finitely generated modules and Gorenstein injective modules
which are a generalization of finitely generated modules and injective modules respectively …

The notion of $2 $-almost Gorenstein ring is a generalization of the notion of almost
Gorenstein ring in terms of Sally modules of canonical ideals. In this paper, we deal with two …

Let 𝑅 be a complete Gorenstein local domain, 𝐽 an ideal of 𝑅 of dimension one, and 𝑁• a
complex of 𝑅-modules bounded below. In this paper, we prove that 𝑁• is a 𝐽-cofinite …

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 ℰ be an injectively resolving subcategory of left R-modules. We study a particular case of
ℰ-Gorenstein injective and flat modules, called strongly ℰ-Gorenstein injective and flat …

Let R be a commutative Noetherian ring and let C be a semidualizing R-module. We prove a
result about the covering properties of the class of relative Gorenstein injective modules with …

We prove that the class of Gorenstein injective modules is both enveloping and covering
over a two sided noetherian ring such that the character modules of Gorenstein injective …

We investigate commutative Noetherian rings of prime characteristic such that the Frobenius
functor applied to any injective module is again injective. We characterize the class of one …

ABSTRACT Let R⊂ A be a Frobenius extension of rings. We prove that:(1) for any left A-
module M, AM is Gorenstein projective (injective) if and only if the underlying left R-module …