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This is a Quantitative Study study.

October 19, 2025Open Access

Classification of three-dimensional Nijenhuis Leibniz algebras

Key Points

All thirteen types of three-dimensional leibniz algebras are classified based on previous research.
Each type has specific Nijenhuis operators that influence their algebraic structure.
The study integrates theoretical concepts with practical applications in algebra theory.
Understanding these algebras can contribute to advances in mathematical structures and classification frameworks.

Abstract

There are thirteen types of three-dimensional Leibniz algebras over the real field R based on the classification given by S. Ayupov, B. Omirov and I. Rakhimov in Leibniz algebras: structure and classification. CRC Press, Boca Raton, FL, 2020. In this paper, we investigate all the Nijenhuis operators on these thirteen types of three-dimensional Leibniz algebras.

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Cite This Study

Ma et al. (Wed,) studied this question.

synapsesocial.com/papers/68f4b10d3d9d770bbc696faf https://doi.org/https://doi.org/10.48550/arxiv.2507.12692