𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Tight Closure and Graded Integral Extensions

✍ Scribed by K.E. Smith


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
309 KB
Volume
175
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


The Tight Integral Closure of a Set of I
✍ Melvin Hochster πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 172 KB

This paper celebrates the enormous contributions of David Buchsbaum to commutative algebra, homological algebra, and representation theory, with grateful appreciation for the inspiration he has provided for myself and so many others. Β© 2000 Academic Press \* or \* . We shall write J for the integral

Divisorial Extensions and the Computatio
✍ Wolmer V. Vasconcelos πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 253 KB

We provide a setting for analyzing the efficiency of algorithms that compute the integral closure of affine rings. It gives quadratic (cubic in the non-homogeneous case) multiplicity-based but dimension-independent bounds for the number of passes the basic construction will make. An approach that do

Tight Closure and Differential Simplicit
✍ William N. Traves πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 143 KB

The behavior of the Hasse-Schmidt algebra under Γ©tale extension is used to show that the Hasse-Schmidt algebra of a smooth algebra of finite type over a field equals the ring of differential operators. These techniques show that the formation of Hasse-Schmidt derivations does not commute with locali

Multiplicity and Tight Closures of Param
✍ Shiro Goto; Yukio Nakamura πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 104 KB

In this paper we investigate the relation between the multiplicity and the tight closure of a parameter ideals. We shall show that local rings having a parameter ideal whose multiplicity agrees with the colength of its tight closure are Cohen-Macaulay rings.

Some Results on Tight Closure and Comple
✍ S. Loepp; C. Rotthaus πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 153 KB

We construct two examples of nonexcellent local Noetherian domains which demonstrate that tight closure and completion do not commute. The first example is a local normal domain A with a height one principal prime ideal P such that Λ†Ε½ . PA \* / P\*A. We also construct an example of a complete local