Jordan {g, h}-derivations on algebra of matrices
Arindam Ghosh, Om Prakash
TL;DR
This paper investigates the properties of Jordan {g, h}-derivations on matrix algebras over a commutative ring, establishing conditions under which they coincide with {g, h}-derivations and providing counterexamples.
Contribution
It proves that under certain conditions, Jordan {g, h}-derivations are equivalent to {g, h}-derivations on matrix algebras, and explores their behavior over M_n(C).
Findings
Every Jordan {g, h}-derivation over T_n(C) is a {g, h}-derivation under an assumption.
An example of a Jordan {g, h}-derivation that is not a {g, h}-derivation is provided.
The study extends to Jordan {g, h}-derivations over M_n(C).
Abstract
In this article, we show that every Jordan {g, h}-derivation over T_n(C) is a {g, h}-derivation under an assumption, where C is a commutative ring with unity 1 not equal to 0. We give an example of a Jordan {g, h}-derivation over T_n(C) which is not a {g, h}-derivation. Also, we study Jordan {g, h}-derivation over M_n(C).
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Matrix Theory and Algorithms