2 papers
math.RA2025
Extended -operators, Novikov Yang-Baxter equations and post-Novikov algebras
Jianfeng Yu, Yanyong Hong
In this paper, we introduce the definition of extended -operators on a Novikov algebra associated to an -bimodule Novikov algebra which is a generalizat…
math.RA2022
Extending structures for Gel'fand-Dorfman bialgebras
Jiajia Wen, Yanyong Hong
Gel'fand-Dorfman bialgebra, which is both a Lie algebra and a Novikov algebra with some compatibility condition, appears in the study of Hamiltonian pairs in completely integrable…