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Proposed Method for Expressing Inner Derivations of Leibniz Algebras Mohammed, Nadia Faiq
Journal of Applied Science, Engineering, Technology, and Education Vol. 8 No. 1 (2026)
Publisher : PT Mattawang Mediatama Solution

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35877/454RI.asci4626

Abstract

This work is concerned with the computational perspective of a specific case of derivations, known as inner derivation mapping. In this regard, we propose an algebraic method to provide inner derivations for a finite-dimensional Leibniz algebra in matrix representation. The method is applied on four-dimensional complex Leibniz algebras obtained earlier to present comprehensive descriptions of their inner derivations. Additionally, we also exhibit the span basis of outer derivatives for these algebras.