Semi-centralizing maps of generalized matrix algebras

DOI10.1016/j.laa.2011.07.014zbMath1238.15015OpenAlexW1981374811MaRDI QIDQ665935

Yanbo Li, Feng Wei

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.2011.07.014

zbMATH Keywords

generalized matrix algebrasemi-centralizing derivationsemi-centralizing mapskew-commuting map

Mathematics Subject Classification ID

Algebraic systems of matrices (15A30) Derivations, actions of Lie algebras (16W25) Nest algebras, CSL algebras (47L35) Other algebras built from modules (15A78)

Related Items (34)

Semigroups of rectangular matrices under a sandwich operation ⋮ Generalized Lie triple derivations on generalized matrix algebras ⋮ LIE-TYPE DERIVATIONS OF NEST ALGEBRAS ON BANACH SPACES AND RELATED TOPICS ⋮ Grothendieck and Whitehead groups of formal matrix rings ⋮ Biprojectivity and biflatness of bi-amalgamated Banach algebras ⋮ Jordan derivations of generalized one point extensions ⋮ Lie triple derivations of unital algebras with idempotents ⋮ Centralizing traces and Lie triple isomorphisms on generalized matrix algebras ⋮ Biderivations of generalized matrix algebras. ⋮ Multiplicative Lie \(n\)-derivations of generalized matrix algebras. ⋮ Homological properties of some types of generalized matrix Banach algebras ⋮ Formal matrix rings: Automorphisms ⋮ Commuting maps on strictly upper triangular matrix rings ⋮ A study on generalized matrix algebras having generalized Lie derivations ⋮ Lie centralizers and commutant preserving maps on generalized matrix algebras ⋮ On \(k\)-semi-centralizing maps of generalized matrix algebras ⋮ The group \(K_0\) of a generalized matrix ring ⋮ Jordan derivations of unital algebras with idempotents. ⋮ Centralizing maps on invertible or singular matrices over division rings. ⋮ Lie derivation and Hochschild cohomology of an extension of path algebras ⋮ ON GENERALIZED JORDAN DERIVATIONS OF GENERALIZED MATRIX ALGEBRAS ⋮ Characterizations of Lie triple derivations on generalized matrix algebras ⋮ Calculation of the group \(K_1\) of a generalized matrix ring ⋮ Jordan derivations and Lie derivations on path algebras ⋮ Automorphisms of formal matrix algebras ⋮ Automorphism groups of formal matrix rings ⋮ Centralizing traces with automorphisms on triangular algebras ⋮ Lie derivations of generalized matrix algebras. ⋮ Jordan automorphism of Morita context algebras ⋮ Centralizing additive maps on rank r block triangular matrices ⋮ Lie (Jordan) centralizers on generalized matrix algebras ⋮ Centralizing traces and Lie-type isomorphisms on generalized matrix algebras: a new perspective ⋮ Centralizing traces and Lie triple isomorphisms on triangular algebras ⋮ The first cohomology group and weak amenability of a Morita context Banach algebra

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