# Rota–Baxter Operators on Pre-Lie Superalgebras

Bulletin of the Malaysian Mathematical Sciences Society, Dec 2017

In this paper, we study Rota–Baxter operators and super $\mathcal {O}$-operator of associative superalgebras, Lie superalgebras, pre-Lie superalgebras and L-dendriform superalgebras. Then we give some properties of pre-Lie superalgebras constructed from associative superalgebras, Lie superalgebras and L-dendriform superalgebras. Moreover, we provide all Rota–Baxter operators of weight zero on complex pre-Lie superalgebras of dimensions 2 and 3.

This is a preview of a remote PDF: https://link.springer.com/content/pdf/10.1007%2Fs40840-017-0565-x.pdf

El-Kadri Abdaoui, Sami Mabrouk, Abdenacer Makhlouf. Rota–Baxter Operators on Pre-Lie Superalgebras, Bulletin of the Malaysian Mathematical Sciences Society, 2017, 1-40, DOI: 10.1007/s40840-017-0565-x