Gorenstein injective modules over Gorenstein rings
EE Enochs, OMG Jenda - Communications in Algebra, 1998 - Taylor & Francis
R will denote an n-Gorenstein ring, that is, R is left and right noetherian with injective
dimension at most n on either side. R module will mean a left R-module and all modules will …
dimension at most n on either side. R module will mean a left R-module and all modules will …
Resolutions by gorenstein injective andprojective modules and modules of finite injective dimension overgorenstein rings
EE Enochs, OMG Jenda - Communications in Algebra, 1995 - Taylor & Francis
Throughout this paper, R will denote an n-Gorenstein ring, that is, R will he a left and right
nocthcrian on botlt sides and haw self-injective dime~~ sion at most n on both sides. R …
nocthcrian on botlt sides and haw self-injective dime~~ sion at most n on both sides. R …
Gorenstein injective complexes of modules over Noetherian rings
L Zhongkui, Z Chunxia - Journal of Algebra, 2009 - Elsevier
A complex C is called Gorenstein injective if there exists an exact sequence of
complexes⋯→ I− 1→ I0→ I1→⋯ such that each Ii is injective, C= Ker (I0→ I1) and the …
complexes⋯→ I− 1→ I0→ I1→⋯ such that each Ii is injective, C= Ker (I0→ I1) and the …
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 …
[引用][C] On Gorenstein rings
OMG Jenda - Mathematische Zeitschrift, 1988 - Springer
On Gorenstein rings Page 1 Math. Z. 197, 119-122 (1988) Mathematische Zeitschrift 9
Springer-Verlag 1988 On Gorenstein Rings Overtoun MG Jenda Department of Mathematics …
Springer-Verlag 1988 On Gorenstein Rings Overtoun MG Jenda Department of Mathematics …
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 …
[HTML][HTML] Constructing homogeneous Gorenstein ideals
S Güntürkün, U Nagel - Journal of Algebra, 2014 - Elsevier
Abstract In 1983 Kustin and Miller introduced a construction of Gorenstein ideals in local
Gorenstein rings, starting from smaller such ideals. We review and modify their construction …
Gorenstein rings, starting from smaller such ideals. We review and modify their construction …
Gorenstein gr-injective and gr-projective modules
MJ Asensio, JAL Ramos… - Communications in …, 1998 - Taylor & Francis
Inspired in one of Auslander's characterizations of Gorenstein projective modules in [I],
Enochs and Jenda in [5] define t, he left derived functors of Horn (instead of the usual right …
Enochs and Jenda in [5] define t, he left derived functors of Horn (instead of the usual right …
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 …
Gorenstein syzygy modules
C Huang, Z Huang - Journal of Algebra, 2010 - Elsevier
For any ring R and any positive integer n, we prove that a left R-module is a Gorenstein n-
syzygy if and only if it is an n-syzygy. Over a left and right Noetherian ring, we introduce the …
syzygy if and only if it is an n-syzygy. Over a left and right Noetherian ring, we introduce the …