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On the derivations of BiHom-Poisson superalgebras

Valiollah Khalili

Department of Mathematics, Faculty of Sciences, Arak University, Arak 385156-8-8349, P.O. Box 879, Iran

E-mail Address: V-Khalili@araku.ac.ir

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and

Sania Asif

https://orcid.org/0000-0003-1922-9430

Department of Mathematics, Zhejiang University, Zhejiang Province, Hangzhou 310027, P. R. China

E-mail Address: 11835037@zju.edu.cn

Corresponding author.

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https://doi.org/10.1142/S1793557122501479Cited by:2 (Source: Crossref)

Abstract

In this paper, our objective is to study numerous fundamental properties of the algebra of generalized derivations on a multiplicative BiHom-Poisson superalgebra $ℬ$ . First, we present a description of some generalized derivations, central derivations, quasiderivations, centroid and quasicentroid of the multiplicative BiHom-Poisson superalgebra $ℬ .$ More specifically, we obtain some important connections and properties of these derivations. We prove that in a larger multiplicative BiHom-Poisson superalgebra, $Q Der (ℬ)$ can be embedded as a derivations algebra. Finally, we show that when $ℬ$ is centerless, the derivations of the larger multiplicative BiHom-Poisson superalgebras have direct sum decompositions.

Communicated by C. C. Xi

Keywords:

AMSC: 17A70, 17B63, 17B40

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