[PDF][PDF] The spectrum of a finite dimensional algebra
CM Ringel - Ring theory. Proceedings of the 1978 Antwerp …, 1979 - core.ac.uk
A right rnodule M over a ring R is said to have a unimodular element (UME) if there exists ue
M such that uR is a direct summand of M canonically isomorphic to R., Thus, M has a UME iff …
M such that uR is a direct summand of M canonically isomorphic to R., Thus, M has a UME iff …
Dimension functions on the prime spectrum
R Wiegand - Communications in Algebra, 1975 - Taylor & Francis
Let R be a Noetherian ring with Krull dimension d and let M be a finitely generated
Rdmodule. Recall the theorem of Forster ELI, improved by Swan EL], which states that if M …
Rdmodule. Recall the theorem of Forster ELI, improved by Swan EL], which states that if M …
Rings with Noetherian spectrum
J Ohm, RL Pendleton - 1968 - projecteuclid.org
0. Introduction. Let R and R denote commutative rings with identity. A radical ideal of R is an
intersection of prime ideals, and a J-radical ideal is an intersection of maximal ideals. If R …
intersection of prime ideals, and a J-radical ideal is an intersection of maximal ideals. If R …
Products of commutative rings and zero-dimensionality
R Gilmer, W Heinzer - Transactions of the American Mathematical Society, 1992 - ams.org
If $ R $ is a Noetherian ring and $ n $ is a positive integer, then there are only finitely many
ideals $ I $ of $ R $ such that the residue class ring $ R/I $ has cardinality $\leq n $. If $ R …
ideals $ I $ of $ R $ such that the residue class ring $ R/I $ has cardinality $\leq n $. If $ R …
[图书][B] The spectrum of a module category
H Krause - 2001 - books.google.com
These notes present an introduction into the spectrum of the category of modules over a
ring. We discuss the general theory of pure-injective modules and concentrate on the …
ring. We discuss the general theory of pure-injective modules and concentrate on the …
The influence of ideal structure on representation theory
KA Brown, RB Warfield Jr - Journal of Algebra, 1988 - Elsevier
The purpose of this paper is to explore the representation theoretic consequences of the two-
sided ideal structure of a Noetherian ring, with special emphasis on an additional …
sided ideal structure of a Noetherian ring, with special emphasis on an additional …
[引用][C] Zero-dimensionality and products of commutative rings
R Gilmer - LECTURE NOTES IN PURE AND APPLIED …, 1995 - math.fsu.edu
If $ R $ is a Noetherian ring and $ n $ is a positive integer, then there are only finitely many
ideals $ I $ of $ R $ such that the residue class ring $ R/I $ has cardinality $\leq n $. If $ R …
ideals $ I $ of $ R $ such that the residue class ring $ R/I $ has cardinality $\leq n $. If $ R …
Algebras over infinite fields
AS Amitsur - Proceedings of the American Mathematical Society, 1956 - JSTOR
The present paper starts with studying the spectrum of the elements of A. More precisely, the
complement of the spectrum in F is studied. It seems that from an algebraic point of view the …
complement of the spectrum in F is studied. It seems that from an algebraic point of view the …
On the spectrum of a module over a commutative ring
RL McCasland, ME Moore, PF Smith - Communications in Algebra, 1997 - Taylor & Francis
On the spectrum of a module over a commutative ring Page 1 COMMUNICATIONS IN ALGEBRA,
25(1), 79-103 (1997) ON THE SPECTRUM OF A MODULE OVER A COMMUTATIVE RING …
25(1), 79-103 (1997) ON THE SPECTRUM OF A MODULE OVER A COMMUTATIVE RING …
Rings of global dimension two
WV Vasconcelos - … on Commutative Algebra: Lawrence, Kansas 1972, 2006 - Springer
This paper gives a change of rings theorem for homological dimensions which seems
especially suited for the study of the commutative rings of global dimension two. Elsewhere …
especially suited for the study of the commutative rings of global dimension two. Elsewhere …