Rota-Baxter bialgebra structures arising from (co-)quasi-idempotent elements

Authors : Tianshui MA, Jie Lİ, Haiyan YANG

Pages : 216-223

Doi:10.15672/hujms.685742

View : 20 | Download : 13

Publication Date : 2021-02-04

Article Type : Research Paper

Abstract :In this note, we construct Rota-Baxter insert ignore into journalissuearticles values(coalgebras); bialgebras by insert ignore into journalissuearticles values(co-);quasi-idempotent elements and prove that every finite dimensional Hopf algebra admits nontrivial Rota-Baxter bialgebra structures and tridendriform bialgebra structures. We give all the forms of insert ignore into journalissuearticles values(co);-quasi-idempotent elements and related structures of tridendriform insert ignore into journalissuearticles values(co, bi);algebras and Rota-Baxter insert ignore into journalissuearticles values(co, bi);algebras on the well-known Sweedler`s four-dimensional Hopf algebra.
Keywords : Rota Baxter bialgebras co, quasi idempotent element, tridendriform bialgebra