Multiplicative Lie n-derivations of triangular rings
By Dominik Benkovič, D. Eremita. 2012
83 citations recorded by the source corpus.
Abstract We introduce the notion of a multiplicative Lie n -derivation of a ring, generalizing the notion of a Lie (triple) derivation. The main goal of the paper is to consider the question of when do all multiplicative Lie n -derivations of a triangular ring T have the so-called standard form. The main result is applied to the classical examples of triangular rings: nest algebras and (block) upper triangular matrix rings.
Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/6c3a67a525dbc4faedbfef9baf0589935101c514
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In Algebra and Number Theory
In Discrete Mathematics and Combinatorics
In Geometry and Topology
Citations in the corpus
- Lie triple derivations of unital algebras with idempotents (2015, background): “Let us introduce the following assumption, which has proved to be very useful when studying Lie n-derivations on triangular algebras (see [18]).”