3 papers
math.RA2026
A Noetherian Hopf algebra is affine iff its Hopf coradical is affine
Huan Jia, Yinhuo Zhang
Let $\K$ denote a field. Extending the structural frameworks established in \cite{JZ2025-2}, this paper introduces novel techniques utilizing non-commutative reduction orders, fact…
math.QA2025
Noetherian pointed Hopf algebras are affine
Huan Jia, Yinhuo Zhang
Let be a field. In this paper, we introduce the notions of and on words, and use them to show that any right or le…
math.RA2025
Affineness on Noetherian graded rings, algebras and Hopf algebras
Huan Jia, Yinhuo Zhang
In this note, we show that every Noetherian graded ring with an affine degree zero part is affine. As a result, a Noetherian graded Hopf algebra whose degree zero component is a co…