Structures of BiHom-Poisson algebras
Sylvain Attan, Ismail Laraiedh
TL;DR
This paper explores the structures, properties, and modules of BiHom-Poisson algebras, introducing new concepts like BiHom-flexible algebras and generalized derivations, with various constructions and examples.
Contribution
It introduces the concept of BiHom-flexible algebras, establishes their relation to BiHom-Poisson algebras, and develops the theory of generalized derivations and modules for these algebras.
Findings
BiHom-Poisson algebras can be constructed with specific methods.
Admissible BiHom-Poisson algebras are shown to be BiHom-flexible.
Basic properties of generalized derivations are established.
Abstract
This paper gives some constructions results and examples of BiHom-Poisson algebras. Next, BiHom-flexible algebras are defined and it is shown that admissible BiHom-Poisson algebras are BiHom-flexible. Furthermore, generalized derivations of Bihom-Poisson algebras are introduced and some their basic properties are given. Finally, BiHom-Poisson modules and several constructions of these notions are obtained.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology