Generalized Gorenstein modules
A Iacob - Algebra Colloquium, 2022 - World Scientific
… a generalization of the Gorenstein injective modules: the Gorenstein FPn-injective modules
(denoted by GIn). They are the cycles of the exact complexes of injective modules that …
(denoted by GIn). They are the cycles of the exact complexes of injective modules that …
W-Gorenstein modules
Y Geng, N Ding - Journal of Algebra, 2011 - Elsevier
… (2) M has generalized Gorenstein dimension zero with respect to C and M ∈ BC (R). (3)
There exists an exact sequence W• =···→ Cl1 → Cl0 → Cn0 → Cn1 →··· such that M = ker(Cn0 …
There exists an exact sequence W• =···→ Cl1 → Cl0 → Cn0 → Cn1 →··· such that M = ker(Cn0 …
Generalized local cohomology modules and homological Gorenstein dimensions
K Divaani-Aazar, A Hajikarimi - Communications in Algebra®, 2011 - Taylor & Francis
… and homological Gorenstein dimensions. This direction of research was … modules can
be computed by Gorenstein injective resolutions. Here, we will apply the theory of Gorenstein …
be computed by Gorenstein injective resolutions. Here, we will apply the theory of Gorenstein …
Generalized divisors on Gorenstein schemes
R Hartshorne - K-theory, 1994 - access.portico.org
… In this section we review basic properties of reflexive modules and reflexive sheaves which
we will use in the next section when we define generalized divisors. If M is a module over a …
we will use in the next section when we define generalized divisors. If M is a module over a …
Gorenstein model structures and generalized derived categories
J Gillespie, M Hovey - Proceedings of the Edinburgh Mathematical …, 2010 - cambridge.org
… every module be cofibrant, in which case the fibrant objects are called Gorenstein injective
modules… the cofibrant objects are Gorenstein flat modules and the fibrant objects are cotorsion …
modules… the cofibrant objects are Gorenstein flat modules and the fibrant objects are cotorsion …
(n, m)-Strongly Gorenstein Projective Modules
D Bennis - International Electronic Journal of Algebra, 2009 - dergipark.org.tr
… of these modules. As consequences, we show that a module M has Gorenstein projective
dimension … The aim of this paper is to generalize the notions above to a more general context (…
dimension … The aim of this paper is to generalize the notions above to a more general context (…
[HTML][HTML] Gorenstein homological dimensions
H Holm - Journal of pure and applied algebra, 2004 - Elsevier
… The aim of this paper is to generalize these results, and to give homological descriptions of
… every Gorenstein projective module Q. We show that every module M with finite Gorenstein …
… every Gorenstein projective module Q. We show that every module M with finite Gorenstein …
[PDF][PDF] A brief introduction to Gorenstein projective modules
P Zhang - Notes https://www. math. uni-bielefeld. de/~ sek/sem …, 2008 - Citeseer
… Gorenstein projective modules. In [GZ2] we determined all the finitely generated strongly
Gorenstein projective modules … modules is called a tilting class if there is a (generalized) tilting …
Gorenstein projective modules … modules is called a tilting class if there is a (generalized) tilting …
Gorenstein test modules
J Asadollahi, S Salarian - Communications in Algebra®, 2005 - Taylor & Francis
… As a generalization of the class of projective modules, the class of … and study certain modules
T over a local ring (R,𝔪), which test Gorenstein dimension of a finitely generated module of …
T over a local ring (R,𝔪), which test Gorenstein dimension of a finitely generated module of …
Gorenstein projective modules and Frobenius extensions
W Ren - Science China Mathematics, 2018 - Springer
… , if a module over the extension ring is Gorenstein projective, then its underlying module over
the base ring is Gorenstein … In [5], Chen introduced a generalization of Frobenius extension, …
the base ring is Gorenstein … In [5], Chen introduced a generalization of Frobenius extension, …
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