On Lie-admissible algebras whose commutator Lie algebras are Lie subalgebras of prime associative algebras

DOI10.1006/jabr.2000.8449zbMath0998.16024OpenAlexW2085154099WikidataQ115395760 ScholiaQ115395760MaRDI QIDQ1593802

Kostia I. Beidar, Mikhail A. Chebotar

Publication date: 25 August 2002

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

Full work available at URL: https://doi.org/10.1006/jabr.2000.8449

zbMATH Keywords

prime algebrasalgebras with involutionsLie idealspolynomial identitiesskew elementsLie-admissible algebrasthird power associative algebrasJordan-admissible algebrasJordan-compatible multiplicationsLie-compatible multiplications

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Jordan structures associated with other structures (17C50) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Lie-admissible algebras (17D25)

Related Items (16)

On Functional Identities Involving Quasi-polynomials of Degree One ⋮ FUNCTIONAL IDENTITIES REVISED: THE FRACTIONAL AND THE STRONG DEGREE ⋮ FUNCTIONAL IDENTITIES IN JORDAN ALGEBRAS: ASSOCIATING MAPS ⋮ Functional Identities in Jordan Algebras: Associating Traces and Lie Triple Isomorphisms ⋮ Commuting Traces of Biadditive Maps Revisited ⋮ Ond-Free Rings ⋮ On bilinear maps on matrices with applications to commutativity preservers. ⋮ Functional identities and their applications ⋮ Functional identities in superalgebras. ⋮ On certain power-associative, Lie-admissible subalgebras of matrix algebras ⋮ Free Lie-admissible algebras and an analogue of the PBW theorem ⋮ Konstantin Igorevich Beidar (1951-2004) ⋮ Commuting traces and commutativity preserving maps on triangular algebras. ⋮ On functional identities andd-free subsets of rings, I ⋮ On functional identities andd-free subsets of rings. II ⋮ Quasi-identities on matrices and the Cayley-Hamilton polynomial.

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