Rota-Baxter Operators on Dual Quaternion Algebra
Hassan Oubba, Azhar Farooq, Kamran Shakoor
TL;DR
This paper classifies all Rota-Baxter operators on the dual quaternion algebra over the reals, providing a comprehensive understanding of their structure.
Contribution
It explicitly determines all Rota-Baxter operators on the dual quaternion algebra, a novel classification in this mathematical context.
Findings
Complete list of Rota-Baxter operators on dual quaternion algebra
Structural insights into dual quaternion algebra
Advances understanding of algebraic operators in hypercomplex systems
Abstract
The purpose of this paper is to determine all Rota-Baxter operators on dual quaternion algebra over the reals.
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