PI-subrings and algebraic elements in enveloping algebras and their fields of fractions

DOI10.1016/0021-8693(89)90090-2zbMath0672.17009OpenAlexW2023706300MaRDI QIDQ1119999

A. I. Lichtman

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0021-8693(89)90090-2

zbMATH Keywords

universal enveloping algebrafield of fractionsalgebraic elementsnoncommutative valuationsPI-subrings

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Rings with polynomial identity (16Rxx)

Related Items

Identities in group rings, enveloping algebras and Poisson algebras, Extensions of Valuation Rings in Central Simple Algebras, A PI degree theorem for quantum deformations, Algebraic elements in division rings, Cohn's embedding of an enveloping algebra into a division ring, Enveloping algebras satisfying a polynomial identity

Cites Work

• Matrix rings and linear groups over a field of fractions of enveloping algebras and group rings. I
• Growth in enveloping algebras
• The residual nilpotence of the multiplicative group of a skew field generated by universal enveloping algebras
• On the Embedding of Rings in Skew Fields
• Prime Rings Satisfying a Polynomial Identity
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