Reductions and special parts of closures
Commutative Algebra
2010-03-05 v2
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 Brian\c{c}on-Skoda theorems.
Keywords
Cite
@article{arxiv.1002.2703,
title = {Reductions and special parts of closures},
author = {Neil Epstein},
journal= {arXiv preprint arXiv:1002.2703},
year = {2010}
}
Comments
to appear in Journal of Algebra (This version corrects some typos)