Commuting Traces of Biadditive Maps on Invertible Elements

DOI10.1080/00927872.2015.1053906zbMath1352.16025OpenAlexW2343922252MaRDI QIDQ2815414

Willian Franca

Publication date: 28 June 2016

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

Full work available at URL: https://doi.org/10.1080/00927872.2015.1053906

zbMATH Keywords

idempotentsfunctional identitiessimple ringsmultiplicative commutatorscommuting traces of biadditive maps

Mathematics Subject Classification ID

Functional identities (associative rings and algebras) (16R60)

Related Items (8)

Nonadditive strong commutativity preserving maps on rank-k matrices over division rings ⋮ Unnamed Item ⋮ Commuting traces of multilinear maps on invertible elements ⋮ Power commuting additive maps on invertible or singular matrices ⋮ Power commuting additive maps on rank-klinear transformations ⋮ Centralizing traces and Lie-type isomorphisms on generalized matrix algebras: a new perspective ⋮ Power commuting traces of bilinear maps on invertible elements ⋮ Commuting maps on invertible triangular matrices over \(\mathbb{F}_2\)

Cites Work

• Commuting maps on some subsets of matrices that are not closed under addition
• On Herstein's Lie map conjectures. III
• Commuting maps on rank-\(k\) matrices
• On Herstein’s Lie map conjectures, I
• Commuting traces of multiadditive maps on invertible and singular matrices
• Lie and Jordan structures in simple associative rings
• Commuting Traces of Biadditive Mappings, Commutativity-Preserving Mappings and Lie Mappings
• Commuting Traces of Biadditive Maps Revisited
• Commuting traces on invertible and singular operators
• On Herstein's Lie map conjectures. II

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