Symmetry and localization in Noetherian prime PI rings

DOI10.1016/0021-8693(88)90024-5zbMath0658.16008OpenAlexW2093021703MaRDI QIDQ1111659

Amiram Braun, Robert B. jun. Warfield

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0021-8693(88)90024-5

zbMATH Keywords

prime idealsquotient ringtrace ringleft localizableprime Noetherian P.I. ringgraphs of links

Mathematics Subject Classification ID

Noetherian rings and modules (associative rings and algebras) (16P40) Localization and associative Noetherian rings (16P50) Semiprime p.i. rings, rings embeddable in matrices over commutative rings (16R20) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items (19)

Extensions and localization ⋮ Homological integral of Hopf algebras ⋮ Functoriality and extensions ⋮ Localization in Noetherian P.I. rings as a finite criterion ⋮ Prime ideals in finite extensions of Noetherian rings ⋮ P.I. rings and the localization at height 1 prime ideals ⋮ Ideal arithmetic in Noetherian PI rings ⋮ A structure sheaf on noetherian rings ⋮ One sided invertibility and localisation ⋮ Noetherian completion and PI rings. ⋮ One sided invertibility and localisation II ⋮ The failure of the Artin-Rees property for the Jacobson radical in prime Noetherian rings. ⋮ Classical localizability in solvable enveloping algebras and Poincaré- Birkhoff-Witt extensions ⋮ On bimodules over Noetherian PI rings ⋮ Localization, completion and the AR property in Noetherian P.I. rings ⋮ Smooth polynomial identity algebras with almost factorial centers. ⋮ Localization at height one prime ideals in affine prime PI rings ⋮ Rings with Enough Invertible Ideals and Their Divisor Class Groups ⋮ A new characterisation of hereditary PI rings

Cites Work

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• An additivity principle for p.i. rings
• A remark on tiled orders over a local Dedekind domain
• Localization in prime Noetherian P.I. rings
• Prime ideals in PI-rings
• Two-sided localization in Noetherian PI-rings
• Jacobson's conjecture and modules over fully bounded Noetherian rings
• Localization in non-commutative Noetherian rings
• On fully left bounded left Noetherian rings
• Localization in Non-Commutative Noetherian Rings
• Noncommutative localization and invariant theory
• Krull dimension

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