Polynomials determining hereditary prime PI-rings

DOI10.1080/00927879208824475zbMath0812.16035OpenAlexW2068503524MaRDI QIDQ4030324

Yang Lee, Jae Keol Park, Hidetoshi Marubayashi

Publication date: 1 April 1993

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

Full work available at URL: https://doi.org/10.1080/00927879208824475

zbMATH Keywords

maximal idealsprime idealspolynomial ringscentral elementscentral localisationsprime hereditary PI-rings

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Ideals in associative algebras (16D25) Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc. (16E60) Semiprime p.i. rings, rings embeddable in matrices over commutative rings (16R20)

Related Items (2)

Global dimension of factor rings ⋮ Prime factor rings of skew polynomial rings over a commutative Dedekind domain.

Cites Work

• Unnamed Item
• Remarks on VHC-orders in a simple Artinian ring
• On prime ideals in hereditary PI-rings
• Integral extensions of rings satisfying a polynomial identity
• Finite extensions are integral
• Maximal orders over Krull domains
• Hereditary Noetherian prime rings
• Localisation in Asano orders
• A krull type generalization of knp rings with enough Invertible ideals
• Polynomials determining Dedekind domains
• Rings of finite global dimension integral over their centres
• Hereditary Prime P.I. Rings are Classical Hereditary Orders†
• Local Rings and Normalizing Sets of Elements
• A note on hereditary rings

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