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arXiv · 1002.2703

Reductions and special parts of closures

Neil Epstein
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Abstract

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 Briançon-Skoda theorems.

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Neil Epstein. 2010-02-26. Reductions and special parts of closures. https://doi.org/10.1016/j.jalgebra.2010.02.015

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