Extending UFDs to PIDs without adding units

DOI10.1216/JCA-2018-10-3-347zbMATH Open1405.13037WikidataQ128962146 ScholiaQ128962146MaRDI QIDQ1622008

Keith A. Kearnes

Publication date: 12 November 2018

Published in: Journal of Commutative Algebra (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jca/1541754164

zbMATH Keywords

UFDconvex setaffine spacePIDunit groupEuclidean domain

Mathematics Subject Classification ID

Axiomatic and generalized convexity (52A01) Principal ideal rings (13F10) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Units, groups of units (associative rings and algebras) (16U60)

Cites Work

• GENERALIZED CONVEXITY AND CLOSURE CONDITIONS
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Related Items (1)

A locally Nagata PID that is not Nagata

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