Non-commutative affine P. I. rings are catenary

DOI10.1016/0021-8693(78)90131-XzbMath0375.16015MaRDI QIDQ1246017

William F. Schelter

Publication date: 1978

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

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Rings with polynomial identity (16Rxx)

Related Items

Prime Ideals in Differential Operator Rings. Catenarity, A combinatorial approach to the set-theoretic solutions of the Yang–Baxter equation, Polynomial identity rings as rings of functions., Trace-Like Functions on Rings with no Nilpotent Elements, Prime ideals in PI-rings, Integrality and normalizing extensions of rings, The Cohen Macaulay property for noncommutative rings, Finite normalizing extensions of rings, Integral ring homomorphisms, Polynomial identity rings as rings of functions. II., Enveloping algebras of Slodowy slices and Goldie rank, On Artin's theorem and Azumaya algebras, Krull and Global Dimensions of Semiprime Noetherian PI-Rings, Automorphisms of prime azumaya algebras, Associative rings, Affine polynomial identity rings and their generalizations, Catenarity and Gelfand-Kirillov dimension in Ore extensions, Localization at height one prime ideals in affine prime PI rings, Finite Extensions of Rings, P.I. G-rings and the contractability of primes, The nilpotency of the radical in a finitely generated P.I. ring, On a question concerning generic matrices over the integers, The radical in a finitely generated P. I. algebra, Finite generalized crossed products over tame and maximal orders, Maximal orders of global dimension and Krull dimension two

Cites Work

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• Integral extensions of rings satisfying a polynomial identity
• The Jacobson radical in PI-algebras
• On Azumaya algebras and finite dimensional representations of rings
• Noetherian Pi-Rings
• ON THE DIMENSION OF NONCOMMUTATIVE AFFINE ALGEBRAS
• Prime ideals and integral dependence