\(k\)-commuting maps on triangular algebras

DOI10.1016/j.laa.2011.08.024zbMath1238.15014OpenAlexW2002371417MaRDI QIDQ665956

Yiqiu Du, Yu Wang

Publication date: 7 March 2012

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2011.08.024

zbMATH Keywords

nest algebratriangular algebraunital commutative ring\(k\)-commuting map2-torsion freeupper triangular matrix algebra

Mathematics Subject Classification ID

Commutativity of matrices (15A27) Algebraic systems of matrices (15A30) Derivations, actions of Lie algebras (16W25) Center, normalizer (invariant elements) (associative rings and algebras) (16U70) Nest algebras, CSL algebras (47L35) Other algebras built from modules (15A78)

Related Items (19)

Commuting traces of upper triangular matrix rings ⋮ \(n\)-derivations of triangular algebras. ⋮ Lie triple derivations of unital algebras with idempotents ⋮ Centralizing traces and Lie triple isomorphisms on generalized matrix algebras ⋮ Biderivations of generalized matrix algebras. ⋮ Unnamed Item ⋮ Commuting (centralizing) traces and Lie (triple) isomorphisms on triangular algebras revisited. ⋮ Additiven-commuting maps on semiprime rings ⋮ On \(k\)-semi-centralizing maps of generalized matrix algebras ⋮ Centralizing maps on invertible or singular matrices over division rings. ⋮ Lie derivations of triangular algebras without assuming unity ⋮ Commuting maps on rank k triangular matrices ⋮ The structure of \(n\)-commuting additive maps on Lie ideals of prime rings ⋮ Centralizing traces with automorphisms on triangular algebras ⋮ Characterization of \(k\)-commuting additive maps on rings. ⋮ Notes on centralizing traces and Lie triple isomorphisms on triangular algebras ⋮ Linear \(n\)-commuting maps on incidence algebras ⋮ Centralizing additive maps on rank r block triangular matrices ⋮ Centralizing traces and Lie-type isomorphisms on generalized matrix algebras: a new perspective

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