On relative counterpart of Auslander's conditions
It is now well known that the conditions used by Auslander to define the Gorenstein
projective modules on Noetherian rings are independent. Recently, Ringel and Zhang …
projective modules on Noetherian rings are independent. Recently, Ringel and Zhang …
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 …
Strongly Gorenstein projective, injective and flat modules
X Yang, Z Liu - Journal of Algebra, 2008 - Elsevier
Journal of Algebra Strongly Gorenstein projective, injective and flat modules Page 1 Journal
of Algebra 320 (2008) 2659–2674 Contents lists available at ScienceDirect Journal of Algebra …
of Algebra 320 (2008) 2659–2674 Contents lists available at ScienceDirect Journal of Algebra …
Triangulated equivalences involving Gorenstein projective modules
Y Zheng, Z Huang - Canadian Mathematical Bulletin, 2017 - cambridge.org
For any ring R, we show that, in the bounded derived category Db (Mod R) of le R-modules,
the subcategory of complexes with nite Gorenstein projective (resp. injective) dimension …
the subcategory of complexes with nite Gorenstein projective (resp. injective) dimension …
Gorenstein injective modules and local cohomology
R Sazeedeh - Proceedings of the American Mathematical Society, 2004 - ams.org
In this paper we assume that $ R $ is a Gorenstein Noetherian ring. We show that if
$(R,\mathfrak {m}) $ is also a local ring with Krull dimension $ d $ that is less than or equal to …
$(R,\mathfrak {m}) $ is also a local ring with Krull dimension $ d $ that is less than or equal to …
Gorenstein coresolving categories
Z Gao, L Xu - Communications in Algebra, 2017 - Taylor & Francis
Let 𝒜 be an abelian category. A subcategory 𝒳 of 𝒜 is called coresolving if 𝒳 is closed under
extensions and cokernels of monomorphisms and contains all injective objects of 𝒜. In this …
extensions and cokernels of monomorphisms and contains all injective objects of 𝒜. In this …
A construction of Gorenstein-projective modules
ZW Li, P Zhang - Journal of Algebra, 2010 - Elsevier
We determine all the Gorenstein-projective modules over the T2-extension of a Gorenstein
algebra, and over (AM0B), where A and B are self-injective algebras, and M is an AB …
algebra, and over (AM0B), where A and B are self-injective algebras, and M is an AB …
Stable ideals in Gorenstein local rings
A Ooishi - Journal of Pure and Applied Algebra, 1990 - Elsevier
STABLE IDEALS IN GORENSTEIN LOCAL RINGS Page 1 Journal of Pure and Applied Algebra
69 (1990) 185-191 North-Holland 185 STABLE IDEALS IN GORENSTEIN LOCAL RINGS Akira …
69 (1990) 185-191 North-Holland 185 STABLE IDEALS IN GORENSTEIN LOCAL RINGS Akira …
Small cofinite irreducibles
L Melkersson - Journal of Algebra, 1997 - Elsevier
We study approximately Gorenstein rings and modules which have small cofinite
irreducibles (SCI). We give a criterion for a (not necessarily finitely generated) module over a …
irreducibles (SCI). We give a criterion for a (not necessarily finitely generated) module over a …
[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 …