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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 50 Issue: 1

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

Tianshui Ma(Henan Normal University)0000-0003-1275-7214
Jie Li(Henan Normal University)0000-0003-3931-7569
Haiyan Yang(Henan Normal University)0000-0001-6594-8327
Sayfa
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Yayın Tarihi
2021-02-04
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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.

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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.
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Temel Bulgular & Veri: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.
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Sonuç & Katkı: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.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Rota-Baxter bialgebras · (co-)quasi-idempotent element · tridendriform bialgebra

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.

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Bu Makaleye Atıf Yap

Ma, T., Li, J., Yang, H. (2021). Rota-Baxter bialgebra structures arising from (co-)quasi-idempotent elements. Hacettepe Journal of Mathematics and Statistics, Volume: 50 Issue: 1. https://doi.org/10.15672/hujms.685742

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Kaynakça (12)

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