Power series over generalized Krull domains

2008/10/06 by Paran, Elad, Temkin, Michael
#Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.0810.1028

Abstract

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.

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