Polynomial extensions of atomic domains

Moshe Roitman

doi:10.1016/0022-4049(93)90122-A

Polynomial extensions of atomic domains

Moshe Roitman

Department of Mathematics

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

Abstract

Among other results, we obtain here a normal atomic domain A such that A[X] is not atomic but any reducible element in A is a product of two irreducible elements (an atomic domain is a domain in which every nonzero nonunit is a product of irreducible elements).

Original language	English
Pages (from-to)	187-199
Number of pages	13
Journal	Journal of Pure and Applied Algebra
Volume	87
Issue number	2
DOIs	https://doi.org/10.1016/0022-4049(93)90122-A
State	Published - 2 Jul 1993

ASJC Scopus subject areas

Algebra and Number Theory

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title = "Polynomial extensions of atomic domains",

abstract = "Among other results, we obtain here a normal atomic domain A such that A[X] is not atomic but any reducible element in A is a product of two irreducible elements (an atomic domain is a domain in which every nonzero nonunit is a product of irreducible elements).",

author = "Moshe Roitman",

year = "1993",

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N2 - Among other results, we obtain here a normal atomic domain A such that A[X] is not atomic but any reducible element in A is a product of two irreducible elements (an atomic domain is a domain in which every nonzero nonunit is a product of irreducible elements).

AB - Among other results, we obtain here a normal atomic domain A such that A[X] is not atomic but any reducible element in A is a product of two irreducible elements (an atomic domain is a domain in which every nonzero nonunit is a product of irreducible elements).

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DO - 10.1016/0022-4049(93)90122-A

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AN - SCOPUS:38249000870

SN - 0022-4049

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EP - 199

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

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Polynomial extensions of atomic domains

Abstract

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