BiHom pre-Lie Superalgebras and Related Structures
Othmen Ncib
TL;DR
This paper explores the structure and properties of BiHom pre-Lie superalgebras, including their construction from other algebraic systems and their cohomology, advancing the understanding of these complex algebraic frameworks.
Contribution
It introduces new properties and constructions of BiHom pre-Lie superalgebras derived from various BiHom algebraic structures and studies their cohomology groups.
Findings
Properties of BiHom pre-Lie superalgebras constructed from other BiHom structures
Development of cohomology theory for BiHom-pre-Lie superalgebras
Applications to related algebraic systems
Abstract
Throughout this paper, we will study Rota-Baxter operators and super O-operator of associative BiHom superalgebras, BiHom Lie superalgebras, BiHom pre-Lie superalgebras and BiHom-L-dendriform superalgebras. Then we give some properties of BiHom pre-Lie superalgebras constructed from associative BiHom superalgebras, BiHom Lie superalgebras and BiHom-L-dendriform superalgebras. As applications, we study the theory of cohomology groups of BiHom-pre-Lie superalgebras.
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