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arxiv: 0810.1028 · v1 · submitted 2008-10-06 · 🧮 math.AC

Power series over generalized Krull domains

classification 🧮 math.AC
keywords generalizedkrulldomainpowerseriesalgebraanswerarithmetic
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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.

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