Direct summands of syzygy modules of the residue class field

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Let R be a commutative Noetherian local ring. This paper deals with the problem asking whether R is Gorenstein if the n-th syzygy of the residue field of R has a nontrivial direct summand of finite G-dimension for some n. It is proved that if n is at most two then it is true, and moreover, the structure of the ring R is determined essentially uniquely.
18 pages, to appear in Nagoya Mathematical Journal

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Commutative Algebra, 13D02 (Primary) 13D05, 13H10 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/125232

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0703186
 http://arxiv.org/abs/math/0703186

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arXiv