A note on noncommutative krull domains

DOI10.1080/00927878608823376zbMath0605.16004OpenAlexW2108262731MaRDI QIDQ3743446

Lieven Le Bruyn, Freddy M. J. van Oystaeyen

Publication date: 1986

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927878608823376

zbMATH Keywords

class groupminimal prime idealOre domainskew field of quotientsDivisorial idealsgeneralizations of Krull domainsprincipal valuation ringS-Krull domain

Mathematics Subject Classification ID

Generalizations of commutativity (associative rings and algebras) (16U80) Valuations and their generalizations for commutative rings (13A18) Noncommutative local and semilocal rings, perfect rings (16L30) Divisibility, noncommutative UFDs (16U30)

Related Items (5)

Non-commutative Krull monoids: a divisor theoretic approach and their arithmetic. ⋮ ON Ω–KRMULL RINGS ⋮ A characterization of length-factorial Krull monoids ⋮ Rings with Enough Invertible Ideals and Their Divisor Class Groups ⋮ Ω-krull rings. I

Cites Work

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• Prime spectra in non-commutative algebra
• Noncommutative localization and sheaves
• Extension of ideals under symmetric localization
• Maximal orders over Krull domains
• Left principal ideal rings
• The torsion theory at a prime ideal of a right Noetherian ring
• Zariski central rings
• Generalized Discrete Valuation Rings

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