Reductions and special parts of closures
arXiv:1002.2703 · doi:10.1016/j.jalgebra.2010.02.015
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.
to appear in Journal of Algebra (This version corrects some typos)