Localization in prime Noetherian P.I. rings

DOI10.1007/BF01229800zbMath0611.16013MaRDI QIDQ1087620

Amiram Braun, Lance W. Small

Publication date: 1986

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173788

zbMATH Keywords

localizationright localizabletrace ringaffine prime noetherian PI ringleft localizablesymbolic powers of a prime ideal

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) 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 (11)

Factoriality for the reductive Zassenhaus variety and quantum enveloping algebra ⋮ The embeddability of affine PI-algebras in rings of matrices ⋮ Localization in Noetherian P.I. rings as a finite criterion ⋮ Symmetry and localization in Noetherian prime PI rings ⋮ P.I. rings and the localization at height 1 prime ideals ⋮ The fundamental prime ideals of a noetherian prime PI ring ⋮ Completions of Noetherian P.I. rings ⋮ Localization, completion and the AR property in Noetherian P.I. rings ⋮ Normalizing Elements in PI Rings ⋮ Localization at height one prime ideals in affine prime PI rings ⋮ Affine PI-algebras not embeddable in matrix rings

Cites Work

• Unnamed Item
• Localisation and completions of Noetherian PI algebras
• Integral extensions of rings satisfying a polynomial identity
• I-adic completions of non-commutative rings
• Localization in non-commutative Noetherian rings
• On the characteristic polynomial of a sum of matrices
• Liberal Extensions
• Localization in Non-Commutative Noetherian Rings

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