Reductions and special parts of closures

Autor(en): Epstein, Neil
Stichwörter: Briancon-Skoda theorems; EVOLUTIONS; IDEALS; Integral closure; Mathematics; RINGS; TIGHT CLOSURE
Erscheinungsdatum: 2010
Herausgeber: ACADEMIC PRESS INC ELSEVIER SCIENCE
Journal: JOURNAL OF ALGEBRA
Volumen: 323
Ausgabe: 8
Startseite: 2209
Seitenende: 2225
Zusammenfassung: 
We provide an axiomatic framework for working with a wide variety of closure operations on ideals and submodules in commutative algebra, including notions of reduction, independence, spread, and special parts of closures. This framework is applied to tight, Frobenius, and integral closures. Applications are given to evolutions and special Briancon-Skoda theorems. (C) 2010 Elsevier Inc. All rights reserved.
ISSN: 00218693
DOI: 10.1016/j.jalgebra.2010.02.015

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