The radical in a finitely generated P. I. algebra

DOI10.1090/S0273-0979-1982-15044-3zbMath0493.16011MaRDI QIDQ3955529

Amiram Braun

Publication date: 1982

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Jacobson radicalnilpotent radicalfinitely generated P.I. algebrafinitely generated p.i. ring

Mathematics Subject Classification ID

Rings with polynomial identity (16Rxx) Radicals and radical properties of associative rings (16Nxx)

Related Items

The affine scheme associated to a non-Noetherian prime PI algebra, Extensions and localization, Triangular products and identities of some associative algebras, Tracial algebras and an embedding theorem, Special lie algebras with maximality condition for abelian subalgebras, The weakly solvable radical and locally strongly algebraic derivations of locally generalized special Lie algebras, Automorphisms and derivations of affine commutative and PI-algebras, Finite generation of Lie derived powers of associative algebras, Affine pi-rings have gabriel dimension, Associative rings, T-spaces and their applications., Radicals of semigroup rings of commutative semigroups, The Kurosh problem, height theorem, nilpotency of the radical, and algebraicity identity., Localization at height one prime ideals in affine prime PI rings, Finiteness conditions on special Lie algebras, Burnside-type problems, theorems on height, and independence., Monomial algebras, Asymptotic properties of free finitely generated algebras of certain varieties, Kemer's theorem for affine PI algebras over a field of characteristic zero.

Cites Work

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• The Jacobson radical in PI-algebras
• Non-commutative affine P. I. rings are catenary
• A Matrix Representation for Associative Algebras. I