Commuting Maps of Triangular Algebras

2001/02/01 by Wai-Shun Cheung · 10 citations
Mathematics · Computer Science · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Matrix Theory and Algorithms

paper · doi:10.1112/s0024610700001642

Abstract

Commuting maps on a class of algebras called triangular algebras are investigated. In particular, sufficient conditions are given such that every commuting map L on such an algebra is of the form L(a) = ax+h(a), where x lies in the center of the algebra and h is a linear map from the algebra to its center.

Citations

• Centralizing Mappings and Derivations in Prime Rings

Cited by

• Characterizations of Lie centralizers of generalized matrix algebras
• Biderivations of finite dimensional complex simple Lie algebras
• Some functional identities characterizing two-sided centralizers and two-sided generalized derivations on triangular algebras
• Commuting maps on the Heisenberg algebra
• Jordan derivations on triangular matrix rings
• σ-Mappings of triangular algebras
• Biderivations of the twisted Heisenberg-Virasoro algebra and their applications
• Ternary mappings of triangular algebras
• Centralizing traces and Lie triple isomorphisms on generalized matrix algebras
• Commuting maps on certain incidence algebras

Related

• σ-Biderivations and σ-commuting maps of triangular algebras
• σ-Mappings of triangular algebras
• Commutators on Generalized Block-Triangular Algebras
• Commuting maps on the Heisenberg algebra
• Ternary mappings of triangular algebras