Lie Higher Derivations on Generalized Matrix Algebras
Fahimeh Moafian
TL;DR
This paper characterizes Lie higher derivations on generalized matrix algebras, identifies conditions for their properness, and discusses applications, advancing understanding of algebraic derivation structures.
Contribution
It provides a detailed characterization of Lie higher derivations on generalized matrix algebras and establishes conditions for their properness, which was not previously known.
Findings
Characterization of Lie higher derivations on generalized matrix algebras
Conditions under which these derivations are proper
Discussion of applications of the results
Abstract
In this paper, at first the construction of Lie higher derivations and higher derivations on a generalized matrix algebra were characterized; then the conditions under which a Lie higher derivation on generalized matrix algebras is proper are provided. Finally, the applications of the findings are discussed.
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Taxonomy
TopicsAdvanced Topics in Algebra · Matrix Theory and Algorithms · Algebraic structures and combinatorial models