We introduce the concepts of generalized compatible and cocompatible bimodules in order
to characterize Gorenstein projective, injective and flat modules over trivial ring extensions …

arXiv:1405.3375v2 [math.RA] 7 May 2015 Page 1 arXiv:1405.3375v2 [math.RA] 7 May 2015
GORENSTEIN DERIVED FUNCTORS FROM SPECIAL RINGS TO ARBITRARY RINGS TIWEI …

Gorenstein flat modules over some Morita context rings Page 1 2 January 13, 2023 15:53
WSPC/S0219-4988 171-JAA 2450096 Journal of Algebra and Its Applications (2024) 2450096 …

Full article: Gorenstein projective modules via total complexes Skip to Main Content Taylor and
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In this paper, we prove that for a $ n $-perfect ring $ R $ various classes of relative
Gorenstein projective $ R $-modules are special precovering, among them including the …

Let R be a ring. We introduce the concept of Gorenstein f-projective R-modules and obtain
some closure properties of Gorenstein f-projective R-modules. As a consequence, we …

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 …

In this paper, we consider Morita rings with zero bimodule homomorphisms. We establish
necessary and sufficient conditions for all strongly complete injective resolutions over a …

arXiv:0902.2237v3 [math.AC] 10 Mar 2010 Page 1 arXiv:0902.2237v3 [math.AC] 10 Mar 2010
Rings over which all (finitely generated strongly) Gorenstein projective modules are projective …

In this paper, we show that the Gorenstein global dimension of trivial ring extensions is often
infinite. Also we study the transfer of Gorenstein properties between a ring and its trivial ring …