Extended $\mathcal{O}$-operators, Novikov Yang-Baxter equations and post-Novikov algebras

Jianfeng Yu, Yanyong Hong

In this paper, we introduce the definition of extended $\mathcal{O}$-operators on a Novikov algebra $(A,\circ )$ associated to an $A$-bimodule Novikov algebra which is a generalizat…