Lie derivations of generalized matrix algebras
83 citations recorded by the source corpus.
Abstract The aim of the paper is to give a description of biderivations for a certain class of generalized matrix algebras. We prove that under certain conditions a biderivation of a generalized matrix algebra is a sum of an extremal and an inner biderivation. We also consider the question when a biderivation of a generalized matrix algebra is an inner biderivation. As a consequence we show that every biderivation of a full matrix algebra over a unital algebra is inner.
Subfields: Algebra and Number Theory, Computational Theory and Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/0ac975f8c48c24a0c8aeb1d412ba11f5a25c5ce7
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In Algebra and Number Theory
In Computational Theory and Mathematics
In Geometry and Topology
Citations in the corpus
- Lie triple derivations of unital algebras with idempotents (2015, background): “In the recent article [12], the authors found sufficient conditions for a Lie derivation on a generalized matrix algebra to be of the standard form, i.”
- Biderivations of finite-dimensional complex simple Lie algebras (2016, background): “ and generalized derivations are very important subjects in the study of both algebras and their generalizations. In recent years, biderivations have aroused the interest of a great many authors, see [2, 5, 8, 9, 12, 13, 16, 17, 18, 19]. In [2], Breˇsar et. al. showed that all biderivations on commu”