Title：Affneness on Noetherian Hopf algebras

Abstract：Let k be a eld. In 2003 Q.-S. Wu and J. J. Zhang proposed a well-known open question: Is every Noetherian Hopf algebra over k an affne k-algebra? We study the question in three different cases. In the graded case, we show that a right or left Noetherian graded ring is affne if its zero part is affne. In the pointed case, we prove that a right or left Noetherian pointed Hopf algebra is always affne. For the braided version of the question, we show that a right or left Noetherian connected braided Hopf algebra is affne. These results or their consequences partially con rm Wu-Zhang's question. The talk is based on 3 joint works with Yinhuo Zhang.

Speaker：Huan Jia，Suqian University.

Date：10:00 a.m., 2025-8-4 (Monday).

Venue: 56#617

Inviter：Hua Sun

Organizer：School of Mathematical

Students and teachers are welcome.