Remarks on a depth formula, a grade inequality and a conjecture of Auslander
T Araya, Y Yoshino - Communications in Algebra, 1998 - Taylor & Francis
Remarks on a depth formula, a grade inequality and a conjecture of Auslander Page 1
COMMUNICATIONS IN ALGEBRA, 26(1 l), 3793-3806 (1998) Remarks on a depth formula, a …
COMMUNICATIONS IN ALGEBRA, 26(1 l), 3793-3806 (1998) Remarks on a depth formula, a …
A classification of the minimal ring extensions of certain commutative rings
DE Dobbs, J Shapiro - Journal of Algebra, 2007 - Elsevier
All rings considered are commutative with identity and all ring extensions are unital. Let R be
a ring with total quotient ring T. The integral minimal ring extensions of R are catalogued via …
a ring with total quotient ring T. The integral minimal ring extensions of R are catalogued via …
Inequalities related to certain couples of local rings
C Lech - 1964 - projecteuclid.org
Let Q be a (Noetherian) local ring with maximal ideal m, and let p be a prime ideal in Q such
that dim p+ rank p= dim Q. Serre showed, using homological means, that if Q is regular, then …
that dim p+ rank p= dim Q. Serre showed, using homological means, that if Q is regular, then …
[PDF][PDF] ∑-injective modules
I Beck - Journal of Algebra, 1972 - core.ac.uk
Some theorems in [4] indicate that the injective modules over a ring R provide a great deal of
information about the structure of the ring. More recently, the papers of H. Bass [9] and C …
information about the structure of the ring. More recently, the papers of H. Bass [9] and C …
[引用][C] Reduced rank in Noetherian rings
AW Chatters, AW Goldie, CR Hajarnavis, TH Lenagan - Journal of algebra, 1979 - Elsevier
The notion of the reduced rank of a finitely generated module over a right Soetherian ring
was first intrnduced in [S] but has been little used until recently. Our aim in this paper is to …
was first intrnduced in [S] but has been little used until recently. Our aim in this paper is to …
[PDF][PDF] Commutative, noetherian rings over which every module has a maximal submodule
RM Hamsher - Proceedings of the American Mathematical Society, 1966 - ams.org
In [l, p. 470] Professor Hyman Bass mentions the following conjecture: a ring P is left perfect
if, and only if, every nonzero left P-module has a maximal submodule and P has no infinite …
if, and only if, every nonzero left P-module has a maximal submodule and P has no infinite …
The Auslander condition on graded and filtered Noetherian rings
EK Ekström - Séminaire d'Algèbre Paul Dubreil et Marie-Paul …, 2006 - Springer
i < v > Page 1 THE AUSLANDER CONDITION ON GRADED AND NOETHERIAN RINGS Eva
Kristina Ekstrom Department of Mathematics University of Stockholm Box 670 1 11385 …
Kristina Ekstrom Department of Mathematics University of Stockholm Box 670 1 11385 …
The Auslander condition on noetherian rings
JE Björk - Séminaire d'Algèbre Paul Dubreil et Marie-Paul …, 2006 - Springer
In the 1ate s. iHties H. Aus lander in tr" oduced var i oua homo I og iea I conditions on
noetherian, or more generally coherent rings which then were investigated both for …
noetherian, or more generally coherent rings which then were investigated both for …
[引用][C] Noetherian full quotient rings
JT Stafford - Proceedings of the London Mathematical Society, 1982 - academic.oup.com
One of the pervasive themes in the theory of Noetherian rings has been the study of
localization and (classical) quotient rings. This was started, of course, by Goldie's theorems …
localization and (classical) quotient rings. This was started, of course, by Goldie's theorems …
Over-rings of Commutative Rings
ED Davis - 1961 - search.proquest.com
Over-rings (rings between an integral domain and its quotient field) have long played a
prominent role in commutative algebra. Tn number theory the valuation rings lying over a …
prominent role in commutative algebra. Tn number theory the valuation rings lying over a …