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BIBTEX RIS

Power series over generalized Krull domains

2009; Elsevier BV; Volume: 323; Issue: 2 Linguagem: Inglês

10.1016/j.jalgebra.2009.08.011

ISSN

1090-266X

Autores

Elad Paran, Michael Temkin,

Tópico(s)

Commutative Algebra and Its Applications

Resumo

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. Moreover, we show that essentially the opposite theorem holds. We prove that if R is a generalized Krull domain which is not a Krull domain, then R〚X〛 is never a generalized Krull domain.

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