Tight closure and its applications/ Huneke, Craig
Material type: TextSeries: Regional conference series in mathematics,88Publication details: New York : American Mathematical Society, 2000Description: 1 vol. (ix,137p.) : 26 cmISBN: 082180412X; 9780821804124Subject(s): Commutative rings | Complexes | Anneaux commutatifsDDC classification: 512.4Item type | Current library | Call number | Status | Date due | Barcode | Item holds |
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General Books | Central Library, Sikkim University General Book Section | 512.4 HUN/T (Browse shelf(Opens below)) | Available | P39424 |
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512.32 WEI/G Galois Theory | 512.4 BRU/C Cohen-Macaulay rings/ | 512.4 COH/I Introduction to ring theory // | 512.4 HUN/T Tight closure and its applications/ | 512.4 LAM/E Exercises In Modules And Rings/ | 512.4 LAM/G A First Course in Noncommutative Rings/ | 512.4 LAM/L Lectures on modules and rings/ |
Contains bibliography.
Introduction
Relationship chart
A prehistory of tight closure
Basic notions
Test elements and the persistence of tight closure
Colon-capturing and direct summands of regular rings
F-rational rings and rational singularities
Integral closure and tight closure
The Hilbert-Kunz multiplicity
Big Cohen-Macaulay algebras
Big Cohen-Macaulay algebras II
Applications of big Cohen-Macaulay algebras
Phantom homology
Uniform Artin-Rees theorems
The localization problem
Regular base change
Appendix 1: The notion of tight closure in equal characteristic zero (by M. Hochster)
Appendix 2: Solutions to the exercises
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