Centralizing traces and Lie triple isomorphisms on generalized matrix algebras
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Publication:2943848
DOI10.1080/03081087.2014.974490zbMath1326.15037arXiv1411.6122OpenAlexW1974666395WikidataQ115299616 ScholiaQ115299616MaRDI QIDQ2943848
Zhan Kui Xiao, Feng Wei, Ajda Fošner, Xinfeng Liang
Publication date: 4 September 2015
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1411.6122
commutative ringunital algebratriangular algebrageneralized matrix algebrafunctional identitycentralizing traceLie triple isomorphismBanach space nest algebra
Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Linear preserver problems (15A86) Other algebras built from modules (15A78)
Related Items (7)
Grothendieck and Whitehead groups of formal matrix rings ⋮ 2-Local Lie triple isomorphisms of nest algebras ⋮ Lie centralizers and commutant preserving maps on generalized matrix algebras ⋮ Centralizing traces with automorphisms on triangular algebras ⋮ Jordan automorphism of Morita context algebras ⋮ Notes on centralizing traces and Lie triple isomorphisms on triangular algebras ⋮ Centralizing traces and Lie-type isomorphisms on generalized matrix algebras: a new perspective
Cites Work
- Biderivations of generalized matrix algebras.
- Lie isomorphisms of nest algebras on Banach spaces
- Multiplicative Lie \(n\)-derivations of triangular rings.
- Commuting maps on some subsets of matrices that are not closed under addition
- Characterization of Lie multiplicative isomorphisms between nest algebras
- Jordan derivations of unital algebras with idempotents.
- The Banach-Lie group of Lie triple automorphisms of an \(H^*\)-algebra
- Commuting mappings of generalized matrix algebras
- Generalized Lie derivations on triangular algebras.
- Semi-centralizing maps of generalized matrix algebras
- \(k\)-commuting maps on triangular algebras
- Biderivations of triangular algebras.
- Generalized biderivations of nest algebras
- Lie isomorphisms of reflexive algebras
- Nonlinear maps preserving Lie products on factor von Neumann algebras
- Multiplicative \(*\)-Lie isomorphisms between factors
- Lie isomorphisms of nest algebras
- Commutativity preserving linear maps and Lie automorphisms of triangular matrix algebras
- Lie isomorphisms in prime rings with involution
- Automorphisms of the Lie algebra of upper triangular matrices over a connected commutative ring
- Commuting traces of multiadditive mappings
- On Herstein's Lie map conjectures. III
- Lie derivations of generalized matrix algebras.
- Commuting traces and commutativity preserving maps on triangular algebras.
- Isomorphism of generalized triangular matrix-rings and recovery of tiles
- Functional identities of degree 2 in triangular rings.
- Commuting maps on rank-\(k\) matrices
- Multiplicative Lie \(n\)-derivations of generalized matrix algebras.
- Lie ring isomorphisms between nest algebras on Banach spaces
- Centralizing mappings and derivations in prime rings
- The group \(K_0\) of a generalized matrix ring
- Centralizing maps on invertible or singular matrices over division rings.
- Lie homomorphisms of operator algebras
- Jordan derivations and antiderivations of generalized matrix algebras
- Lie Triple Derivations on Triangular Matrices
- Isomorphisms between Morita context rings
- Commuting traces and Lie isomorphisms on generalized matrix algebras
- A LINEAR APPROACH TO LIE TRIPLE AUTOMORPHISMS OF H*-ALGEBRAS
- Commutativity preserving mappings on semiprime rings
- Commuting Maps of Triangular Algebras
- Lie and Jordan structures in simple associative rings
- Maps on upper triangular matrices preserving Lie products
- Multiplicative Lie Isomorphisms Between Prime Rings
- Isomorphism of generalized matrix rings
- Characterization of ξ-Lie multiplicative isomorphisms
- Commuting Traces of Biadditive Mappings, Commutativity-Preserving Mappings and Lie Mappings
- On functional identities and commuting additive mappings
- Lie Derivations of Triangular Algebras
- Functional Identities in Jordan Algebras: Associating Traces and Lie Triple Isomorphisms
- Lie Isomorphisms onH*-Algebras
- Lie derivations on triangular matrices
- Jordan isomorphisms of triangular rings
- Generalized Matrix Algebras
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