Supercommutator algebras of right (Hom-)alternative superalgebras

2017/10/07 by A. Nourou Issa, Issa, A. Nourou
Mathematics · #17A30 #17A70 #17D15 #17D99 #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.1710.02706

openalex publication_date 2017/10/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The supercommutator algebra of a right alternative superalgebra is a Bol superalgebra. Hom-Bol superalgebras are defined and it is shown that they are closed under even self-morphisms. Any Bol superalgebra along with any even self-morphism is twisted into a Hom-Bol superalgebra. The supercommutator algebra of a right Hom-alternative superalgebra has a natural Hom-Bol superalgebra structure.

Citations

• Right Hom-alternative algebras

Related

• Supercommutator (Hom-)superalgebras of right (Hom-)alternative\n superalgebras
• Hom-prealternative superalgebras
• Pseudo-Euclidean Hom-alternative superalgebras and Hom-post-alternative superalgebras
• Hom-Bol algebras
• Right Hom-alternative algebras