On Herstein’s Lie map conjectures, I
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Publication:2723474
DOI10.1090/S0002-9947-01-02731-3zbMath1019.16019OpenAlexW1531303774WikidataQ122911213 ScholiaQ122911213MaRDI QIDQ2723474
Matej Brešar, Wallace S. III Martindale, Mikhail A. Chebotar, Kostia I. Beidar
Publication date: 5 July 2001
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9947-01-02731-3
Automorphisms and endomorphisms (16W20) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)
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Cites Work
- Unnamed Item
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- Unnamed Item
- Unnamed Item
- Isomorphisms of a certain class of prime Lie rings
- Jordan homomorphisms onto nondegenerate Jordan algebras
- Herstein's Lie theory revisited
- The Zelmanov approach to Jordan homomorphisms of associative algebras
- An example of division rings with involution
- Lie isomorphisms of the skew elements of a simple ring with involution
- Structure groups and Lie algebras of Jordan algebras of symmetric elements of associative algebras with involution
- On generalized functional identities on prime rings
- On functional identities in prime rings with involution
- Generalized functional identities with (anti-)automorphisms and derivations on prime rings. I
- On additive isomorphisms of prime rings preserving polynomials
- Centralizing maps in prime rings with involution
- Lie isomorphisms in prime rings with involution
- Commuting traces of multiadditive mappings
- Constructing simple Lie superalgebras from associative graded algebras
- Lie isomorphisms in *-prime GPI rings with involution
- Lie isomorphisms of prime rings satisfying \(St_4\)
- On generalized biderivations and related maps
- \(\text{QF-}3\) algebras of finite representation type
- Skew commutators and Lie isomorphisms in real von Neumann algebras
- Lie derivations of the skew elements of prime rings with involution
- Centralizing mappings and derivations in prime rings
- Jordan homomorphisms of the symmetric elements of a ring with involution
- Identities in rings with involutions
- Classical Banach-Lie algebras and Banach-Lie groups of operators in Hilbert space
- Lie derivations of primitive rings
- Semi -automorphisms of rings
- ON SURJECTIVE LIE HOMOMORPHISMS ONTO LIE IDEALS OF PRIME RINGS
- Commutativity preserving mappings on semiprime rings
- Lie and Jordan structures in simple associative rings
- Commuting Traces of Biadditive Mappings, Commutativity-Preserving Mappings and Lie Mappings
- Lie ∗ -Triple Homomorphisms Into Von Neumann Algebras
- Lie isomorphisms of the skew elements of a prime ring with involution
- Lie Triple Derivations of Von Neumann Algebras
- Continuity of Lie mappings of the skew elements of Banach algebras with involution
- On a certain functional identity in prime rings*
- Continuity of Lie derivations on Banach algebras
- Lie isomorphisms of non-gpi rings wiht involution
- On lie isomorphisms in prime rings with involution
- Continuity of Lie Isomorphisms of Banach Algebras
- Lie Derivations in Prime Rings With Involution
- Maps preservingnthpowers1
- On additive maps of prime rings satisfying the engel condition
- The derivation algebra and the universal central extension of theq-analog of the virasoro-like algebra*
- The derivation algebra of the associative algebra Cq[X,Y,X-1,Y-1*]
- On functional identities and commuting additive mappings
- On functional identities andd-free subsets of rings, I
- On functional identities andd-free subsets of rings. II
- Commutators and lie isomorphisms of skew elements in prime operator algebras
- Lie Isomorphisms of Primitive Rings
- Lie Isomorphisms of Simple Rings
- Lie Isomorphisms of Factors
- Lie Isomorphisms of Prime Rings
- Lie Isomorphisms of Derived Rings of Simple Rings
- Jordan Homomorphisms of Rings