A non-abelian exterior product of Hom-Leibniz algebras

2021/04/24 by Behrouz Edalatzadeha, Edalatzadeha, Behrouz, Seyedeh Narges Hosseinib +3
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Rings and Algebras (math.RA) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2104.11922

openalex publication_date 2021/04/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we introduce a non-abelian exterior product of Hom-Leibniz algebras and investigate its relative to the Hopf's formula. We also construct an eight-term exact sequence in the homology of Hom-Leibniz algebras. Finally, we relate the notion of capability of a Hom-Leibniz algebra to its exterior product.

Citations

• On Hom–Lie algebras

Related

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• A non-abelian exterior product and homology of Leibniz algebras
• The exterior product and homology of Hom-Lie algebras
• On capability of Leibniz algebras
• Some characterizations of Hom-Leibniz algebras