Generalized NS-algebras
Rings and Algebras
2024-07-25 v3
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.
Cite
@article{arxiv.2103.07530,
title = {Generalized NS-algebras},
author = {Cyrille Ospel and Florin Panaite and Pol Vanhaecke},
journal= {arXiv preprint arXiv:2103.07530},
year = {2024}
}
Comments
21 pages; in v3 we added more references, we improved the presentation and added few more examples. Final version, accepted for publication in J. Pure Appl. Algebra