- Hacettepe Journal of Mathematics and Statistics
- Vol: 50 Issue: 1
- Rota-Baxter bialgebra structures arising from (co-)quasi-idempotent elements
Rota-Baxter bialgebra structures arising from (co-)quasi-idempotent elements
Authors : Tianshui Ma, Jie Li, Haiyan Yang
Pages : 216-223
Doi:10.15672/hujms.685742
View : 13 | Download : 5
Publication Date : 2021-02-04
Article Type : Research
Abstract :In this note, we construct Rota-Baxter (coalgebras) bialgebras by (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 (co)-quasi-idempotent elements and related structures of tridendriform (co, bi)algebras and Rota-Baxter (co, bi)algebras on the well-known Sweedler's four-dimensional Hopf algebra.Keywords : Rota-Baxter bialgebras, (co-)quasi-idempotent element, tridendriform bialgebra