Abstract
The purpose of this paper is to study some results of constructions on Hom–Poisson superalgebras. We use the representations and Rota–Baxter operators. We introduce the notion of [Formula: see text]-ary Hom–Nambu–Poisson superalgebras and their representations and we study relationships between Hom–Poisson superalgebras and its induced [Formula: see text]-ary Hom–Nambu–Poisson superalgebras. The same concept is applied for the representations of [Formula: see text]-ary Hom–Nambu–Poisson superalgebras.
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