标题: On the Brown-Goodearl Conjecture

报告人：朱瑞鹏（上海财经大学）

报告时间：2026年06月05日 15：00-16：00

报告地点：管理科学教学科研楼1418

摘要: Brown and Goodearl conjectured that every noetherian Hopf algebra has finite injective dimension, which is known for affine PI Hopf algebras. We extend this conjecture to braided Hopf algebras and show that every noetherian affine PI braided Hopf algebra is Artin-Schelter Gorenstein. We also prove that monoidal Morita-Takeuchi equivalence preserves the Gorenstein property, supporting the conjecture. This talk is based on joint work with Wei Ren and with Quanshui Wu.

个人简介: 朱瑞鹏, 上海财经大学数学学院副教授、硕士生导师。研究领域为非交换代数。现主持一项国家自然科学基金青年项目。已在J. Algebra, J. Pure Appl. Algebra, Proc. Amer. Math. Soc.等学术刊物上发表论文近10篇。