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http://hdl.handle.net/1942/45726| Title: | Affineness on Noetherian graded rings, algebras and Hopf algebras | Authors: | JIA, Huan ZHANG, Yinhuo |
Issue Date: | 2025 | Source: | Proceeding of American Mathematical society, | Status: | Early view | 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: | graded ring;graded Hopf algebra;braided Hopf algebra;noetherian;affine | Document URI: | http://hdl.handle.net/1942/45726 | Category: | A3 | Type: | Journal Contribution |
| Appears in Collections: | Research publications |
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| arxive_2503.12268v1.pdf Restricted Access | Non Peer-reviewed author version | 106.78 kB | Adobe PDF | View/Open Request a copy |
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