Herstein's Lie theory revisited

DOI10.1016/0021-8693(86)90013-XzbMath0577.16021OpenAlexW2041025272WikidataQ115366866 ScholiaQ115366866MaRDI QIDQ1065911

Wallace S. III Martindale, C. Robert Miers

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0021-8693(86)90013-x

zbMATH Keywords

centerLie idealsskew-symmetric elementsgeneralized polynomial identitiesrings with involutioninvolutions of the second kindsemi-prime ring*-central *-closure*-invariant idealsemi-prime Lie ring

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Rings with polynomial identity (16Rxx) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items

On Herstein's Lie map conjectures. III, On lie isomorphisms in prime rings with involution, Multiplicative Semiprimeness of Skew Lie Algebras, On some identities in prime rings with involution, On the Lie structure of a prime associative superalgebra, Nonlinear strong commutativity preserving maps on skew elements of prime rings with involution., Lie ideals: from pure algebra to C*-algebras, On Herstein’s Lie map conjectures, I, Lie structure in semiprime superalgebras with superinvolution., Generalized Lie ideals in *-prime rings, On the lie structure of associative superalgebras, Algebras of quotients of graded Lie algebras, Quasiclassical Lie algebras, DERIVATIONS OF THE LOCALLY NILPOTENT MATRIX RINGS, Prime quotients of Jordan systems and Lie algebras, A description of ad-nilpotent elements in semiprime rings with involution, The derived superalgebra of skew elements of a semiprime superalgebra with superinvolution, Lie Quotients for Skew Lie Algebras, Minimal *-differential identities in prime rings, Associative systems generated by symmetric elements of a system with involution, Lie superhomomorphisms in superalgebras with superinvolution, Martindale Algebras of Quotients of Graded Algebras, On Functional Identities in Prime Rings with Involution II^*, Finite \(\mathbb Z\)-gradings of Lie algebras and symplectic involutions., Lie isomorphisms of non-gpi rings wiht involution

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