A characterization of closure operations that induce big Cohen-Macaulay modules

• Autores: Geoffrey D. Dietz
• Localización: Proceedings of the American Mathematical Society, ISSN 0002-9939, Vol. 138, Nº 11, 2010, págs. 3849-3862
• Idioma: inglés
• DOI: 10.1090/s0002-9939-2010-10417-3
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• Resumen

  • 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 over a complete local domain . Conversely, we show that if such a exists over , then there exists a closure operation that satisfies the given axioms.