On the finiteness of Gorenstein homological dimensions
I Emmanouil - Journal of Algebra, 2012 - Elsevier
In this paper, we study certain properties of modules of finite Gorenstein projective, injective
and flat dimensions. We examine conditions which imply that all Gorenstein projective …
and flat dimensions. We examine conditions which imply that all Gorenstein projective …
Gorenstein projective precovers
S Estrada, A Iacob, K Yeomans - Mediterranean Journal of Mathematics, 2017 - Springer
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 …
GF-closed ring such that every Gorenstein projective module is Gorenstein flat and every …
Gorenstein algebras and recollements
X Ma, T Zhao, Z Huang - Communications in Algebra, 2019 - Taylor & Francis
Abstract Let A, A′, and A ″be artin algebras. We prove that if there is a recollement of the
bounded Gorenstein derived category DG (P (Mod A)) b (Mod A) relative to the bounded …
bounded Gorenstein derived category DG (P (Mod A)) b (Mod A) relative to the bounded …
[引用][C] Gorenstein modules
RY Sharp - Mathematische Zeitschrift, 1970 - Springer
Throughout this paper, the word" ring" will mean" commutative,(associative,) Noetherian ring
with a non-zero multiplicative identity". In [9], I discussed the Cousin Complex, C (M), for a …
with a non-zero multiplicative identity". In [9], I discussed the Cousin Complex, C (M), for a …
Gorenstein injective modules and Auslander categories
MA Esmkhani, M Tousi - Archiv der Mathematik, 2007 - Springer
In this paper, we study Gorenstein injective modules over a local Noetherian ring R. For an
R-module M, we show that M is Gorenstein injective if and only if Hom R (Ȓ, M) belongs to …
R-module M, we show that M is Gorenstein injective if and only if Hom R (Ȓ, M) belongs to …
$(\\Flat,\\A) $-Gorenstein flat homological dimensions
V Becerril - 대한수학회지, 2022 - dbpia.co.kr
In this paper we develop the homological properties of the Gorenstein $(\Le,\A) $-flat $ R $-
modules $\GF_ {(\Flat (R),\A)} $ proposed by Gillespie,\linebreak where the class …
modules $\GF_ {(\Flat (R),\A)} $ proposed by Gillespie,\linebreak where the class …
On the category of modules of Gorenstein dimension zero
R Takahashi - Mathematische Zeitschrift, 2005 - Springer
Let R be a commutative noetherian henselian non-Gorenstein local ring of depth zero.
Denote by mod R the category of all finitely generated R-modules, and by the full …
Denote by mod R the category of all finitely generated R-modules, and by the full …
Monomorphism categories, cotilting theory, and Gorenstein-projective modules
P Zhang - Journal of Algebra, 2011 - Elsevier
The monomorphism category S n (X) is introduced, where X is a full subcategory of the
module category A-mod of an Artin algebra A. The key result is a reciprocity of the …
module category A-mod of an Artin algebra A. The key result is a reciprocity of the …
Gorenstein injective envelopes and covers over two sided noetherian rings
A Iacob - Communications in Algebra, 2017 - Taylor & Francis
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 …
over a two sided noetherian ring such that the character modules of Gorenstein injective …
Gorenstein injective envelopes of Artinian modules
MN Babaei, K Divaani-Aazar - Communications in Algebra, 2014 - Taylor & Francis
Let R be a commutative Noetherian ring and A an Artinian R-module. We prove that if A has
finite Gorenstein injective dimension, then A possesses a Gorenstein injective envelope …
finite Gorenstein injective dimension, then A possesses a Gorenstein injective envelope …