Affineness on Noetherian graded rings, algebras and Hopf algebras
Rings and Algebras
2025-03-18 v1
Abstract
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 commutative or a cocommutative Hopf subalgebra is affine. Moreover, we show that the braided Hopf algebra of a Noetherian graded Hopf algebra is affine.
Keywords
Cite
@article{arxiv.2503.12268,
title = {Affineness on Noetherian graded rings, algebras and Hopf algebras},
author = {Huan Jia and Yinhuo Zhang},
journal= {arXiv preprint arXiv:2503.12268},
year = {2025}
}
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4 pages