Quadratic polynomials, factorization in integral domains and Schreier domains from pullbacks

DOI10.1112/S0025579300014832zbMath1076.13002MaRDI QIDQ4676337

David E. Rush

Publication date: 3 May 2005

Published in: Mathematika (Search for Journal in Brave)

zbMATH Keywords

UFDdivisibilityintegral domainSchreier domainruler and compass constructionspre-Schreier ringfactorization of quadratic polynomialsfactorization reflect ring

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Polynomials over commutative rings (13B25) Integral domains (13G05) Divisibility and factorizations in commutative rings (13A05)

Related Items

When graded domains are Schreier or pre-Schreier ⋮ Monoid Domain Constructions of Antimatter Domains ⋮ Convex polytopes and factorization properties in generalized power series domains ⋮ On a property of 2-integrally closed domains

Cites Work

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• Sylvester domains
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• On a property of pre-schreier domains
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• Schreier Rings
• Null ideals and spanning ranks of matrices
• The Dedekind-Mertens Lemma and the contents of polynomials
• Quadratic Polynomials and Unique Factorization
• On Partially Ordered Groups Satisfying the Riesz Interpolation Property
• Unique Factorization Domains