The embeddability of affine PI-algebras in rings of matrices

DOI10.1016/0021-8693(86)90162-6zbMath0611.16014OpenAlexW2019094913MaRDI QIDQ1087621

Ronald S. Irving, Lance W. Small

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0021-8693(86)90162-6

zbMATH Keywords

identitiesJacobson radicalembeddabilityannihilator idealsaffine noetherian semiprime PI- algebraaffine PI-algebraembeddable in matricesnoetherian K-algebras

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Noetherian rings and modules (associative rings and algebras) (16P40) Rings with polynomial identity (16Rxx)

Related Items (2)

Affine Noetherian algebras, filtrations and presentations ⋮ Representability of algebras finite over their centers.

Cites Work

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• The nilpotency of the radical in a finitely generated P.I. ring
• Localization in prime Noetherian P.I. rings
• Affine PI-algebras not embeddable in matrix rings
• Orders in Artinian rings
• An example in PI-rings
• A Matrix Representation for Associative Algebras. I
• On some infinitely presented associative algebras
• A Noncommutative Hilbert Basis Theorem and Subrings of Matrices
• An Embedding of Pi-Rings

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