Reflexive modules and rings with self-injective dimension two
M Hoshino - Tsukuba journal of mathematics, 1989 - JSTOR
Let R be a left and right noetherian ring and M a finitely generated left Ä-module with Ext&
(Af, R)= 0 for i^ l. Is then M reflexive? This is a stronger version of the generalized Nakayama …
(Af, R)= 0 for i^ l. Is then M reflexive? This is a stronger version of the generalized Nakayama …
[引用][C] Reflexive modules over regular local rings
MI Jinnah - Archiv der Mathematik, 1975 - Springer
We give some criteria for projectivity of reflexive modules in this paper. In the second
section, we show that a reflexive module M over a regular local ring R is free if …
section, we show that a reflexive module M over a regular local ring R is free if …
On rings with finite self-injective dimension
Y Iwanaga - Communications in Algebra, 1979 - Taylor & Francis
For a left module M over a ring R, pd (M) and id (M) denote the projective and injective
dimension of M, respectively. A (left and right) noether ring R is called n-Gorenstein for an n> …
dimension of M, respectively. A (left and right) noether ring R is called n-Gorenstein for an n> …
Vanishing of
S Goto - Journal of Mathematics of Kyoto University, 1982 - projecteuclid.org
In case A has finite Krull-dimension, say d, it is well-known by Bass [2] that A is a Gorenstein
ring if and only if ExtiA (M, A)=(0) for every finitely generated A-module M and for every …
ring if and only if ExtiA (M, A)=(0) for every finitely generated A-module M and for every …
[PDF][PDF] Reflexive modules over Gorenstein rings
WV Vasconcelos - Proceedings of the American Mathematical …, 1968 - community.ams.org
Introduction. The aim of this paper is to show the relevance of a class of commutative
noetherian rings to the study of reflexive modules. They include integrally closed domains …
noetherian rings to the study of reflexive modules. They include integrally closed domains …
[引用][C] Extension closed reflexive modules
M Hoshino - Archiv der Mathematik, 1990 - Springer
In this note, we ask when the class of all finitely generated reflexive (torsionless) left
modules is closed under extensions. This is not always the case, even if R is left and right …
modules is closed under extensions. This is not always the case, even if R is left and right …
Reflexive modules with finite Gorenstein dimension with respect to a semidualizing module
Let R be a commutative Noetherian ring and let C be a semidualizing R-module. It is shown
that a finitely generated R-module M with finite GC-dimension is C-reflexive if and only if M 𝔭 …
that a finitely generated R-module M with finite GC-dimension is C-reflexive if and only if M 𝔭 …
k-torsionless modules with finite Gorenstein dimension
Let R be a commutative Noetherian ring. It is shown that the finitely generated R-module M
with finite Gorenstein dimension is reflexive if and only if M p is reflexive for p∈ Spec (R) …
with finite Gorenstein dimension is reflexive if and only if M p is reflexive for p∈ Spec (R) …
Modules of the highest homological dimension over a Gorenstein ring
Y Iwanaga, J Miyachi - CONTEMPORARY MATHEMATICS, 1998 - books.google.com
We will study modules of the highest injective, projective and flat dimension over a
Goresntein ring. Let R be a Gorenstein ring of self-injective dimension n and 0–RR→ E0 …
Goresntein ring. Let R be a Gorenstein ring of self-injective dimension n and 0–RR→ E0 …
Gorenstein injective modules and Ext.
EE Enochs, OMG Jenda - Tsukuba journal of mathematics, 2004 - projecteuclid.org
The aim of this paper is to characterize $ n $-Gorenstein rings in terms of Gorenstein
injective modules and the Ext functor. We will show that if $ R $ is a left and right noetherian …
injective modules and the Ext functor. We will show that if $ R $ is a left and right noetherian …