A formula for ideal lattices of general commutative rings

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Let S be a set of n ideals of a commutative ring A. Let G_{even} (respectively G_{odd}) denote the product of all the sums of even (respectively odd) number of ideals of S. If n<7 the product of G_{even} and the intersection of all ideals of S is included in G_{odd}. In the case A is an Noetherian integral domain, this inclusion is replaced by equality if and only if A is a Dedekind domain.
9 pages

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Commutative Algebra, 13Cxx

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http://salesiana.dossiersoluciones.com/handle/123456789/107567

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0601377
 http://arxiv.org/abs/math/0601377

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arXiv