On polynomial extensions of Mori domains over countable fields

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Abstract

We show here that a polynomial extension of a Mori domain is not necessarily Mori. More precisely, given a field K, there exists a Mori domain A containing K such that A[X] is not Mori if and only if K is countable. A similar statement holds for the CC property.

Original languageEnglish
Pages (from-to)315-328
Number of pages14
JournalJournal of Pure and Applied Algebra
Volume64
Issue number3
DOIs
StatePublished - 9 Jul 1990

ASJC Scopus subject areas

  • Algebra and Number Theory

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