Birational hereditary noetherian prime rings

DOI10.1080/00927878008822462zbMath0429.16004OpenAlexW2044409634MaRDI QIDQ3866222

Freddy M. J. van Oystaeyen, Erna Nauwelaerts

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1080/00927878008822462

zbMATH Keywords

idempotent maximal idealsbirational extensionsemi-prime PI-ringsymmetric kernel functorbirational hereditary Noetherian prime ringslocalisations of a hereditary Noetherian prime ring

Mathematics Subject Classification ID

Category-theoretic methods and results in associative algebras (except as in 16D90) (16B50) Prime and semiprime associative rings (16N60) Divisibility, noncommutative UFDs (16U30) Noetherian rings and modules (associative rings and algebras) (16P40) Localization and associative Noetherian rings (16P50) Rings with polynomial identity (16Rxx) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items (8)

Examples Of noncommutative krull rings ⋮ Graded rings over arithmetical orders ⋮ Ω-krull rings and skew semigroup rings ⋮ ON Ω–KRMULL RINGS ⋮ What is an \(\Omega\)-Krull ring? ⋮ Ω-krull rings. I ⋮ Modules ⋮ Generalized Rees rings and relative maximal orders satisfying polynomial identities

Cites Work

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• Extension of ideals under symmetric localization
• Non-commutative Dedekind rings
• Modules over Dedekind prime rings
• Hereditary Noetherian prime rings
• Localizations of Dedekind prime rings
• Localisation in hereditary rings
• Localisation in Asano orders
• Restricted left principal ideal rings
• Idempotent Ideals in P.I. Rings
• Zariski central rings
• Hereditary Prime P.I. Rings are Classical Hereditary Orders†
• Bounded Asano Orders are Hereditary
• Bounded Hereditary Noetherian Prime Rings

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