On Jordan Derivations of Triangular Algebras
Xuehan Cheng, Wu Jing
TL;DR
This paper proves that all Jordan derivations of triangular algebras are actually derivations, simplifying the understanding of their algebraic structure.
Contribution
It establishes that Jordan derivations on triangular algebras are equivalent to derivations, a previously unconfirmed property.
Findings
Every Jordan derivation of triangular algebras is a derivation
Simplifies the structure theory of triangular algebras
Provides a foundation for further algebraic investigations
Abstract
In this short note we prove that every Jordan derivation of triangular algebras is a derivation.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Matrix Theory and Algorithms