An additivity principle for p.i. rings

DOI10.1016/0021-8693(85)90020-1zbMath0576.16018OpenAlexW2066893743MaRDI QIDQ1065121

Amiram Braun

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0021-8693(85)90020-1

zbMATH Keywords

centerBergman-Small theoremprime ring with polynomial identitytrace ring

Mathematics Subject Classification ID

Rings with polynomial identity (16Rxx)

Related Items (11)

Azumaya loci and discriminant ideals of PI algebras ⋮ Homological integral of Hopf algebras ⋮ Localization in Noetherian P.I. rings as a finite criterion ⋮ Symmetry and localization in Noetherian prime PI rings ⋮ P.I. rings and the localization at height 1 prime ideals ⋮ The fundamental prime ideals of a noetherian prime PI ring ⋮ The failure of the Artin-Rees property for the Jacobson radical in prime Noetherian rings. ⋮ Poisson geometry and representations of PI 4-dimensional Sklyanin algebras ⋮ On Invertible Bimodules and Automorphisms of Noncommutative Rings ⋮ Localization at height one prime ideals in affine prime PI rings ⋮ A structure theorem for Noetherian P. I. rings with global dimension two

Cites Work

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• Prime ideals in PI-rings
• Integral ring homomorphisms
• Finite dimensional representations of algebras
• Integral extensions of rings satisfying a polynomial identity
• Affine polynomial identity rings and their generalizations
• P.I. degrees and prime ideals
• On the characteristic polynomial of a sum of matrices

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