Enveloping algebras satisfying a polynomial identity

DOI10.1016/0021-8693(90)90062-SzbMath0713.16013MaRDI QIDQ749630

Donald S.Passman

Publication date: 1990

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

zbMATH Keywords

universal enveloping algebrasrestricted Lie algebrapolynomial identityrestricted enveloping algebra

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Modular Lie (super)algebras (17B50) Universal enveloping algebras of Lie algebras (16S30)

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Group algebras and enveloping algebras with nonmatrix and semigroup identities, Identities in group rings, enveloping algebras and Poisson algebras, Derived lengths of symmetric Poisson algebras, Nonmatrix varieties and nil-generated algebras whose units satisfy a group identity, Lie structure of truncated symmetric Poisson algebras, Lie identities on symmetric elements of restricted enveloping algebras, Lie superalgebras whose enveloping algebras satisfy a non-matrix polynomial identity, Non-matrix polynomial identity enveloping algebras, Delta sets and polynomial identities in pointed Hopf algebras, Identities and derived lengths of finitary incidence algebras and their group of units, Lie solvable enveloping algebras of characteristic two, Lie identities on enveloping algebras of restricted Lie superalgebras, Unnamed Item, Identities in the enveloping algebras for modular Lie superalgebras, Connected Hopf algebras and iterated Ore extensions., On the Lie algebra of skew-symmetric elements of an enveloping algebra, PI Hopf algebras of prime characteristic., Connected (graded) Hopf algebras, Analytic pro-\(p\) groups and their graded group rings, Generalised nilpotence conditions inn-engel lie algebras

Cites Work

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• Delta methods in enveloping rings
• PI-subrings and algebraic elements in enveloping algebras and their fields of fractions
• Group algebras
• Group rings satisfying a polynomial identity
• Identities in the universal envelopes of Lie algelras
• The u-Algebra of a Restricted Lie Algebra is Frobenius
• Linear identities in group rings. I