Commuting traces and commutativity preserving maps on triangular algebras

By Dominik Benkovič, D. Eremita. 2004

90 citations recorded by the source corpus.

Abstract Let A be a triangular algebra. The problem of describing the form of a bilinear map B : A × A → A satisfying B ( x , x ) x = x B ( x , x ) for all x ∈ A is considered. As an application, commutativity preserving maps and Lie isomorphisms of certain triangular algebras (e.g., upper triangular matrix algebras and nest algebras) are determined.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/8f165b7f936a47c9c1826de8ba48b839bd2352ff

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Wei-Yan Yu
2. Jianhua Zhang
3. Dominik Benkovič

In Geometry and Topology

1. Wei-Yan Yu
2. Jianhua Zhang
3. Dominik Benkovič

In Mathematical Physics

1. Wei-Yan Yu
2. Jianhua Zhang

Citations in the corpus

• Jordan derivations of triangular algebras (2006, background): “Recently, some problems on triangular algebras have been determined, such as commuting linear maps [5], Lie derivations [6], commuting traces of bilinear maps and commutativity preserving linear maps [2] and functional identities [1].”
• Biderivations and linear commuting maps on simple generalized Witt algebras over a field (2016, unknown): “(see [3, 6, 7, 9, 11, 12, 16, 17, 18, 19, 21]).”