Generalized NS-algebras

2021/03/12 by Cyrille Ospel, Florin Panaite, Ospel, Cyrille +3 · 1 citation
Mathematics · Computer Science · #Advanced Topics in Algebra #Rings, Modules, and Algebras #Advanced Algebra and Logic

paper · pdf · doi:10.48550/arxiv.2103.07530

Abstract

We generalize to arbitrary categories of algebras the notion of an NS-algebra. We do this by using a bimodule property, as we did for defining the general notions of a dendriform and tridendriform algebra. We show that several types of operators lead to NS-algebras: Nijenhuis operators, twisted Rota-Baxter operators and relative Rota-Baxter operators of arbitrary weight.

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• Nijenhuis operators and twisted O-operators on Nambu-Poisson algebras

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