Acyclic complexes and Gorenstein rings
For a given class of modules A, let A˜ be the class of exact complexes having all cycles in A,
and dw (A) the class of complexes with all components in A. Denote by GI the class of …
and dw (A) the class of complexes with all components in A. Denote by GI the class of …
[HTML][HTML] Totally acyclic complexes
S Estrada, X Fu, A Iacob - Journal of Algebra, 2017 - Elsevier
It is known that over an Iwanaga–Gorenstein ring the Gorenstein injective (Gorenstein
projective, Gorenstein flat) modules are simply the cycles of acyclic complexes of injective …
projective, Gorenstein flat) modules are simply the cycles of acyclic complexes of injective …
Gorenstein projective and flat complexes over noetherian rings
E Enochs, S Estrada, A Iacob - Mathematische Nachrichten, 2012 - Wiley Online Library
We give sufficient conditions on a class of R‐modules article amssymb empty C in order for
the class of complexes of article amssymb empty C‐modules, article amssymb empty dwC …
the class of complexes of article amssymb empty C‐modules, article amssymb empty dwC …
Gorenstein injective and projective complexes
EE Enochs, JR Garcí Rozas - Communications in Algebra, 1998 - Taylor & Francis
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 …
complexes and characterize such complexes. We prove that over an n-Gorenstein ring every …
Totally acyclic complexes and locally Gorenstein rings
LW Christensen, K Kato - Journal of Algebra and Its Applications, 2018 - World Scientific
A commutative noetherian ring with a dualizing complex is Gorenstein if and only if every
acyclic complex of injective modules is totally acyclic. We extend this characterization, which …
acyclic complex of injective modules is totally acyclic. We extend this characterization, which …
Complexes of Gorenstein flat modules and Gorenstein cotorsion modules
Z Wang, Z Liu - Communications in Algebra®, 2010 - Taylor & Francis
A complex (C, δ) is called strongly Gorenstein flat if C is exact and Ker δ n is Gorenstein flat
in R-Mod for all n∈ ℤ. Let 𝒮𝒢 stand for the class of strongly Gorenstein flat complexes. We …
in R-Mod for all n∈ ℤ. Let 𝒮𝒢 stand for the class of strongly Gorenstein flat complexes. We …
Virtually Gorenstein rings and relative homology of complexes
Z Di, L Liang, J Wang - Journal of Pure and Applied Algebra, 2023 - Elsevier
We extend the notion of virtually Gorenstein rings to the setting of arbitrary rings, and prove
that all rings R of finite Gorenstein weak global dimension are virtually Gorenstein such that …
that all rings R of finite Gorenstein weak global dimension are virtually Gorenstein such that …
All modules have Gorenstein flat precovers
G Yang, L Liang - Communications in Algebra, 2014 - Taylor & Francis
Full article: All Modules Have Gorenstein Flat Precovers Skip to Main Content Taylor and
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Gorenstein gr-flat modules
MJ Asensio, JA López Ramos… - Communications in …, 1998 - Taylor & Francis
The theory of Gorenstein injective and projective modules start, ed in [4] as an st, udy of
homology for Gorenstein rings, ie, rings which are noetherian on both sides and with finite …
homology for Gorenstein rings, ie, rings which are noetherian on both sides and with finite …
Gorenstein flat covers of modules over Gorenstein rings
E Enochs, J Xu - Journal of Algebra, 1996 - Elsevier
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 …
dimensions. These rings were studied by Bass for the commutative case and Iwanaga for …