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

Commutative Algebra 2010-11-04 v2

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.

Keywords

Cite

@article{arxiv.0911.0398,
  title  = {A Characterization of Closure Operations That Induce Big Cohen-Macaulay Modules},
  author = {Geoffrey D. Dietz},
  journal= {arXiv preprint arXiv:0911.0398},
  year   = {2010}
}

Comments

14 pages