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The purpose of this paper is to study pseudo-Euclidean and symplecticHom-alternative superalgebras and discuss some of their proprieties and provideconstruction procedures. We also introduce the notion of Rota-Baxter operatorsof pseudo-Euclidean Hom-alternative superalgebras of any weight andHom-post-alternative superalgebras. A Hom-post-alternative superalgebrasconsists of three operations such that some compatibility conditions aresatisfied. We show that a weighted Rota-Baxter operator induces aHom-post-alternative superalgebra naturally. Conversely, a Hom-post-alternativesuperalgebra gives rise to a new Hom-alternative superalgebra. In particular, aHom-pre-alternative superalgebra is naturally built via symplectic structures.

Pseudo-Euclidean Hom-alternative superalgebras and Hom-post-alternative superalgebras