Unique factorisation rings

DOI10.1017/S0013091500005526zbMath0762.16014OpenAlexW2006270977MaRDI QIDQ4024651

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Publication date: 8 February 1993

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091500005526

zbMATH Keywords

prime idealpolynomial extensionmaximal orderpolynomial identityprime ringprime elementsimple ringclassical localizationheight-1 prime idealleft and right Noetherian ringUnique Factorization Ring

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Ideals in associative algebras (16D25) Divisibility, noncommutative UFDs (16U30) Localization and associative Noetherian rings (16P50) Semiprime p.i. rings, rings embeddable in matrices over commutative rings (16R20)

Related Items (6)

Polycyclic group rings and unique factorisation rings ⋮ Group rings which are unique factorisation rings ⋮ Multiplicative Ideal Theory in Noncommutative Rings ⋮ Non-commutative unique factorization rings with zero-divisors ⋮ Height-one prime ideals in semigroup algebras satisfying a polynomial identity ⋮ Direct sum decompositions of conformal rings

Cites Work

• Unnamed Item
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• Modules over prime Krull rings
• Non-commutative unique factorization domains
• Non-commutative UFD's are often PID's
• Height One Primes of Polycyclic Group Rings
• Non-Commutative Unique Factorisation Rings
• Noetherian Full Quotient Rings
• Localisations dans les ordres maximaux
• Subrings of Noetherian Rings

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