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

Research paper by Geoffrey D. Dietz

Indexed on: 03 Nov '10Published on: 03 Nov '10Published in: Mathematics - Commutative Algebra



Abstract

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.