Power series over generalized Krull domains

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We resolve an open problem in commutative algebra and Field Arithmetic, posed by Jarden -- Let R be a generalized Krull domain. Is the ring R[[X]] of formal power series over R a generalized Krull domain? We show that the answer is negative.
7 pages

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Commutative Algebra

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http://salesiana.dossiersoluciones.com/handle/123456789/170798

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0810.1028
 http://arxiv.org/abs/0810.1028

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arXiv