A guide to closure operations in commutative algebra

Details A guide to closure operations in commutative algebra A guide to closure operations in commutative algebra

2011-06-06

arxiv.org/abs/1106.1119v3

Mathematics

Commutative Algebra

32 pages; minor changes to section 4; to appear in the volume "Progress in Commutative Algebra" (Sean Sather-Wagstaff, Christo

Scientific paper

This article is a survey of closure operations on ideals in commutative rings, with an emphasis on structural properties and on using tools from one part of the field to analyze structures in another part. The survey is broad enough to encompass the radical, tight closure, integral closure, basically full closure, saturation with respect to a fixed ideal, and the v-operation, among others.

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