Generalized Lie derivations on triangular algebras

By Dominik Benkovič. 2011

47 citations recorded by the source corpus.

Let A be a unital algebra and let M be a unitary A-bimodule. We consider generalized Lie derivations mapping from A to M. Our results are applied to triangular algebras, in particular to nest algebras and (block) upper triangular matrix algebras. We prove that under certain conditions each generalized Lie derivation of a triangular algebra A is the sum of a generalized derivation and a central map which vanishes on all commutators of A.

Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/490b8b149d6ffc37cab442a12d040283eaa7c5ed

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. Xiansheng Dai
2. Guangzhe Fan
3. Xiaomin Tang

In Discrete Mathematics and Combinatorics

1. Xiansheng Dai
2. Guangzhe Fan

In Geometry and Topology

1. Xiansheng Dai
2. Guangzhe Fan
3. Xiaomin Tang

Citations in the corpus

• Super-biderivations of Lie superalgebras (2016, background): “In [2, 3], Bre ˇ sar et al showed that all biderivations on commutative prime rings are inner bidrivations and they det ermined the biderivations of semiprime rings.”