Affine polynomial identity rings and their generalizations

DOI10.1016/0021-8693(79)90174-1zbMath0411.16015OpenAlexW2032949557MaRDI QIDQ1259658

Amiram Braun

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0021-8693(79)90174-1

zbMATH Keywords

finitely generated ringsaffine polynomial identity rings

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Noetherian rings and modules (associative rings and algebras) (16P40) Rings with polynomial identity (16Rxx) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items (9)

A Note on Noetherian P.I. Rings ⋮ On Artin's theorem and Azumaya algebras ⋮ Rings with restricted descending chain conditions ⋮ Associative rings ⋮ P.I. G-rings and the contractability of primes ⋮ On a question of G. Bergman and L. Small on Azumaya algebras ⋮ The nilpotency of the radical in a finitely generated P.I. ring ⋮ An additivity principle for p.i. rings ⋮ A new characterisation of hereditary PI rings

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Identities and linear dependence
• Central embeddings in semi-simple rings
• Integral extensions of rings satisfying a polynomial identity
• The Jacobson radical in PI-algebras
• Non-commutative affine P. I. rings are catenary
• Théorie de la descente et algèbres d'Azumaya
• Orders in Artinian rings
• On fully left bounded left Noetherian rings
• P.I. degrees and prime ideals
• Noetherian Pi-Rings
• ON A PROBLEM OF KAPLANSKY
• Anneaux semi-premiers, noethériens, à identités polynômiales
• On the Krull-Akizuki Theorem
• Prime 𝑃𝐼-rings
• A Generalization of Zariski's Main Theorem

This page was built for publication: Affine polynomial identity rings and their generalizations