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

In this paper, Gorenstein FP-injective modules are introduced and studied. An R-module M
is called Gorenstein FP-injective if there is an exact sequence⋯→ E1→ E0→ E0→ E1→⋯ of …

In this article we extend the notion of Gorenstein injective and projective modules to that of
complexes and characterize such complexes. We prove that over an n-Gorenstein ring every …

A left and right Noetherian ringRis called Gorenstein if bothRRandRRhave finite injective
dimensions. These rings were studied by Bass for the commutative case and Iwanaga for …

In this article, the new concept of relative Gorenstein flat modules is introduced. We give a
survey of their behavior in terms of both structural and dimension properties. We relate the …

We prove that the class of Gorenstein projective modules is special precovering over any left
GF-closed ring such that every Gorenstein projective module is Gorenstein flat and every …

In this paper, we construct some non-integrally closed domains in Gorenstein multiplicative
ideal theory. For example, we show that there exists a Gorenstein Prüfer domain which is …

Inspired in one of Auslander's characterizations of Gorenstein projective modules in [I],
Enochs and Jenda in [5] define t, he left derived functors of Horn (instead of the usual right …

For any ring R and any positive integer n, we prove that a left R-module is a Gorenstein n-
syzygy if and only if it is an n-syzygy. Over a left and right Noetherian ring, we introduce the …

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