Rota-Baxter operators and related structures on anti-flexible algebras
arXiv:2108.01333
Abstract
In this paper, we first construct a graded Lie algebra which characterizes Rota-Baxter operators on an anti-flexible algebra as Maurer-Cartan elements. Next, we study infinitesimal deformations of bimodules over anti-flexible algebras. We also consider compatible Rota-Baxter operators on bimodules over anti-flexible algebras. Finally, We define -structures which give rise to compatible Rota-Baxter operators and vice-versa.
20 pages