A Characterization of Closure Operations That Induce Big Cohen-Macaulay Modules

Details A Characterization of Closure Operations That Induce Big Cohen-Macaulay Modules A Characterization of Closure Operations That Induce Big Cohen-Macaulay Modules

2009-11-02

arxiv.org/abs/0911.0398v2

Proc. of the Amer. Math. Soc., 138 (2010), No. 11, 3849--3862

Mathematics

Commutative Algebra

14 pages

Scientific paper

The intent of this paper is to present a set of axioms that are sufficient
for a closure operation to generate a balanced big Cohen-Macaulay module B over
a complete local domain R. Conversely, we show that if such a B exists over R,
then there exists a closure operation that satisfies the given axioms.

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