Article ID Journal Published Year Pages File Type
4586650 Journal of Algebra 2010 17 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory