Ruipeng Zhu

collaborators

5 papers

math.RA2026

Ştefan spectral sequence for faithfully flat Hopf Galois extensions is multiplicative

Liyu Liu, Hongguang Nie, Guodong Zhou +1

Let $H$ be a Hopf algebra with a bijective antipode over a field $k$ and $B / A$ be a flat right $H$ -Galois extension. Ştefan constructed a spectral sequence converging to th…

math.RA2026

Chevalley property of module-finite Hopf algebras and discriminant ideals

Yimin Huang, Tiancheng Qi, Quanshui Wu +1

In this paper, we study the Chevalley property of Cayley-Hamilton Hopf algebras in the sense of De Concini-Procesi-Reshetikhin-Rosso using discriminant ideals. For any affine Cayle…

math.RA2026

Gorenstein homological invariants and monoidal model categories of Hopf algebras

Wei Ren, Ruipeng Zhu

Let $H$ be a Hopf algebra over a field $k$ with a bijective antipode. It is proved that the Gorenstein global dimension of $H$ coincides with the Gorenstein projective dimension of…

math.RA2025

Skew Calabi-Yau property of faithfully flat Hopf Galois extensions

Ruipeng Zhu

This paper shows that if $H$ is a Hopf algebra and $A \subseteq B$ is a faithfully flat $H$ -Galois extension, then $B$ is skew Calabi-Yau provided $A$ and $H$ are. Specifically, fo…

math.RA2025

Artin-Schelter Gorenstein property of Hopf Galois extensions

Ruipeng Zhu

This paper investigates the homological properties of the faithfully flat Hopf Galois extension $A \subseteq B$ . It establishes that when $B$ is a noetherian affine PI algebra and…