Affine PI-algebras not embeddable in matrix rings

DOI10.1016/0021-8693(83)90175-8zbMath0508.16015OpenAlexW2022065696MaRDI QIDQ1837752

Ronald S. Irving

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0021-8693(83)90175-8

zbMATH Keywords

Jacobson radicalfinitely generated algebraright annihilator idealsaffine PI-algebrasembeddable into matrix rings

Mathematics Subject Classification ID

Rings with polynomial identity (16Rxx)

Related Items (10)

Algebras of linear growth, the Kurosh-Levitzky problem and large independent sets ⋮ The embeddability of affine PI-algebras in rings of matrices ⋮ On cancellative semigroup rings ⋮ Stable finiteness does not imply linear soficity ⋮ Algebras Generated by Two Quadratic Elements ⋮ \(C^*\)-algebras, Gelfand-Kirillov dimension, and Følner sets ⋮ Free \(^*\)-subalgebras of C\(^*\)-algebras ⋮ Representability of algebras finite over their centers. ⋮ Associative rings ⋮ Embeddings in matrix wreath products of algebras

Cites Work

• Unnamed Item
• Localization in prime Noetherian P.I. rings
• Orders in Artinian rings
• An example in PI-rings
• Some examples in PI ring theory
• A Matrix Representation for Associative Algebras. I

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