Lie structure of prime rings of characteristic 2

From MaRDI portal
Publication:2554397

DOI10.2140/pjm.1972.42.117zbMath0243.16018OpenAlexW2090065563MaRDI QIDQ2554397

Charles Lanski, Susan Montgomery

Publication date: 1972

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1972.42.117




Related Items (98)

Certain functional identities involving a pair of generalized skew derivations with nilpotent values on Lie idealsDerivations as a generalization of Jordan homomorphisms on Lie ideals and non-commutative Banach algebras.On Posner’s theorem with b-generalized skew derivations on Lie idealsAnnihilator condition of a pair of derivations in prime and semiprime ringsProjections and power reduction property for generalized identities of symmetric elementsOn n-generalized commutators and Lie ideals of ringsOn an identity involving generalized derivations and Lie ideals of prime ringsOn invariant additive subgroupsPotenzen von invarianten Untergruppen in Ringen mit Involution. (Powers of invariant subgroups in rings with involution)ON CERTAIN SUBGROUPS OF PRIME RINGS WITH AUTOMORPHISMS\(b\)-generalized skew derivations on Lie idealsSome generalized identities on prime rings and their application for the solution of annihilating and centralizing problemsPower values of generalized skew derivations preserving Jordan product on Lie idealsInvariant additive subgroups of a certain kindAnnihilating power values of co-commutators with generalized derivations.Additive subgroups generated by noncommutative polynomialsGeneralized Higher Derivations on Lie Ideals of Triangular AlgebrasDerivations nilpotent on subsets of prime ringsA result on generalized skew derivations on Lie ideals in prime ringsPower cocentralizing generalized derivations on prime rings.Annihilators and centralizers of generalized skew derivations on multilinear polynomialsAnnihilator conditions with generalized skew derivations and Lie ideals of prime ringsA note on commutators with power central values on Lie ideals.Commutator Leavitt path algebras.Skew Derivations with Power Central Values on CommutatorsUnnamed ItemTwo generalized derivations on Lie ideals in prime ringsOn the Lie structure of a prime associative superalgebraHigher derivations on Lie ideals of triangular algebras.Jordan Product Preserving Generalized Skew Derivations on Lie IdealsGeneralized derivations with Engel condition on Lie ideals of prime ringsOn Lie ideals and automorphisms in prime ringsGeneralized skew derivations with hypercommuting conditions on Lie idealsAn identity with generalized skew derivations on Lie idealsSome identities on automorphisms in prime ringsAn equation concerning power values of generalized skew derivations and annihilating conditions on Lie idealsGeneralized Skew Derivations and g-Lie Derivations of Prime RingsLie structure in semi-prime rings with involutionInvariant additive subgroups in prime ringsInvariant subgroups in rings with involutionA quadratic generalized differential identity on Lie ideals of Prime RingsVanishing and cocentralizing generalized derivations on Lie idealsDerivations with values satisfying a right or left S2n–polynomialSolvable Subgroups in Prime RingsHigher commutators, ideals and cardinalityCommuting and centralizing generalized derivations on Lie ideals in prime rings.Unnamed ItemCertain additive maps on \(m\)-power closed Lie ideals.Cocentralizing generalized derivations on multilinear polynomial on right ideals of prime rings.A result on derivationsA quadratic differential identity with generalized derivations on multilinear polynomials in prime rings.A result concerning nilpotent values with generalized skew derivations on Lie idealsAn Engel condition with X-generalized skew derivations on Lie idealsPrime and semiprime rings with \(n\)-commuting generalized skew derivationsNotes on generalized derivations and partial generalized automorphisms in prime ringsCertain Additive Maps on (m+n+1)-Power Closed Lie IdealsLie structure in semiprime superalgebras with superinvolution.The structure of \(n\)-commuting additive maps on Lie ideals of prime ringsDerivations of group rings for finite and FC groupsLie structure in semi - prime rings with involutionEngel conditions of generalized derivations on Lie ideals and left sided ideals in prime rings and Banach algebrasA note on generalized skew derivations on Lie idealsGeneralized Skew Derivations with Nilpotent Values in Prime RingsAnnihilator condition on power values of derivations.Associative ringsCommutators and images of noncommutative polynomialsAnnihilating and power-commuting generalized skew derivations on lie ideals in prime ringsRings with periodic symmetric or skew elementsAbbildungen auf Ringen insbesondere mit InvolutionUnnamed ItemInvariant submodules in semi-prime rings with involutionDerivations with algebraic values on lie idealsDerivations with Nilpotent Values on Lie IdealsDifferential commutator identities.Unnamed ItemLeft annihilator of generalized derivations on Lie ideals in prime rings.Automorphisms and generalized skew derivations which are strong commutativity preserving on polynomials in prime and semiprime ringsThe derived superalgebra of skew elements of a semiprime superalgebra with superinvolutionEngel conditions of generalized derivations on left ideals and Lie ideals in prime ringsFiniteness properties of differential polynomials.Power values of quadratic polynomials with generalized skew derivations on Lie ideals\(m\)-potent commutators of skew derivations on Lie idealsGeneralized derivations with skew-commutativity conditions on polynomials in prime ringsOn the generalized hypercentralizer of a Lie ideal in a prime ringUnnamed ItemGeneralized Derivations Cocentralizing PolynomialsGeneralized derivations on Lie ideals in prime ringsRings of quotients for a class of special Jordan ringsUnnamed ItemInvariante Untergruppen in Ringen mit Involution. IIJordan and Lie ideals of inverse semiringsOn functional identities andd-free subsets of rings, IOn higher commutators of ringsAnnihilators of power values of derivations on Lie ideals of prime ringsPosner’s second theorem and some related annihilating conditions on lie idealsPower-commuting skew derivations on Lie ideals.On Nilpotent Derivations of Prime RingsCharacterization of higher commutators




This page was built for publication: Lie structure of prime rings of characteristic 2