WebFor a reference on Cohen-Macaulay and Gorenstein rings, you can try "Cohen-Macaulay rings" by Bruns-Herzog. Also, Huneke's lecture note "Hyman Bass and Ubiquity: Gorenstein Rings" is a great introduction to Gorenstein rings, very easy to read and to the point, I highly recommend it. Web6 mrt. 2024 · Bass, Hyman (1963), "On the ubiquity of Gorenstein rings", Mathematische Zeitschrift 82: 8–28, doi:10.1007/BF01112819, ISSN 0025-5874 Bruns, Winfried; Herzog, …
Gorenstein ring - Encyclopedia of Mathematics
Web1 mrt. 2015 · A famous paper by Hyman Bass [1] has the title: “On the ubiquity of Gorenstein rings”. The original starting point of our paper was to point out that a class of rings basically introduced by Dedekind, Noether and Grell has not – to our knowledge – been mentioned in the literature on Gorenstein rings. WebHyman Bass’s work in ring theory and projective modules. ... Gorenstein rings, and Bass rings). The 1962 announcement of a homotopy theory of projective mod-ules with Schanuel [BS] and the subsequent 1964 announcement [B8] on the stable structure of the general linear group over an arbitrary ring culminated in his famous newthex kolham
Gorenstein ring - HandWiki
Web19 mei 2024 · Request PDF Regular local rings of dimension four and Gorenstein syzygetic prime ideals ... C. Huneke, Hyman Bass and ubiquity: Gorenstein rings. Algebra, K-theory, groups, and education ... WebIf R is a commutative Noetherian regular ring containing a field and I is an ideal of R , it is known that every local cohomology module of R with support in I has finite Bass numbers and a finite set of associated primes. However, the previously available proofs of this result were completely different from each other in characteristic p>0 and in characteristic 0. Web16 sep. 2002 · Hyman Bass and Ubiquity: Gorenstein Rings. C. Huneke. Published 16 September 2002. Mathematics. arXiv: Commutative Algebra. This paper is based on a talk given by the author in October, 1997 at a conference at Columbia University in celebration of Hyman Bass's 65th birthday. The paper details some of the history of Gorenstein rings … newthex ned