On Artin's theorem and Azumaya algebras

DOI10.1016/0021-8693(82)90256-3zbMath0491.16009OpenAlexW2008070916MaRDI QIDQ1167253

Amiram Braun

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0021-8693(82)90256-3

zbMATH Keywords

centerAzumaya algebrascentral noetherian subringp.i. ringcentral polynomial of matrix rings

Mathematics Subject Classification ID

Divisibility, noncommutative UFDs (16U30) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Rings with polynomial identity (16Rxx)

Related Items (7)

On Frobenius algebras and the quantum Yang-Baxter equation ⋮ Associative rings ⋮ An alternative approach to the structure theory of PI-rings. ⋮ Central polynomials for matrices over finite fields ⋮ The nilpotency of the radical in a finitely generated P.I. ring ⋮ Weakly Azumaya algebras ⋮ On generic \(G\)-graded Azumaya algebras

Cites Work

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• Affine polynomial identity rings and their generalizations
• Separable algebras over commutative rings
• On Azumaya algebras and finite dimensional representations of rings
• On a theorem of M. Artin
• Central polynomials for matrix rings
• P.I. degrees and prime ideals
• ON A PROBLEM OF KAPLANSKY
• On Rings with Identities

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