On polynomial extensions of Mori domains over countable fields

Moshe Roitman

doi:10.1016/0022-4049(90)90065-P

On polynomial extensions of Mori domains over countable fields

Moshe Roitman

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	315-328
Number of pages	14
Journal	Journal of Pure and Applied Algebra
Volume	64
Issue number	3
DOIs	https://doi.org/10.1016/0022-4049(90)90065-P
State	Published - 9 Jul 1990

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/0022-4049(90)90065-P

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AB - 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.

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On polynomial extensions of Mori domains over countable fields

Abstract

ASJC Scopus subject areas

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