Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/48798
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dc.contributor.authorJia , Huan-
dc.contributor.authorZHANG, Yinhuo-
dc.date.accessioned2026-03-24T07:46:10Z-
dc.date.available2026-03-24T07:46:10Z-
dc.date.issued2026-
dc.date.submitted2026-03-20T15:40:38Z-
dc.identifier.citationCommunications in Algebra,-
dc.identifier.urihttp://hdl.handle.net/1942/48798-
dc.description.abstractIn this note, we show that a right or left Noetherian graded algebra is affine if and only if its degree-zero part is affine. This result implies that a Noetherian Hopf algebra, when graded as an algebra, is affine if its degree-zero component is either a commutative or a cocommutative Hopf subalgebra. We further establish that the braided Hopf algebra of any right or left Noetherian graded Hopf algebra is affine. Communicated by Eric Jespers-
dc.description.sponsorshipThis work is supported by the National Natural Science Foundation of China (Grant No. 12561005), Suqian Sci & Tech Program (Grant No. K202439) and Startup Foundation for Newly Recruited Employees of Suqian University (Grant No. 2024XRC025).-
dc.language.isoen-
dc.publisherTAYLOR & FRANCIS INC-
dc.subject.otherAffine-
dc.subject.otherbraided Hopf algebra-
dc.subject.othergraded algebra graded Hopf algebra-
dc.subject.otherNoetherian-
dc.titleAffineness on Noetherian graded algebras and graded Hopf algebras-
dc.typeJournal Contribution-
local.format.pages5-
local.bibliographicCitation.jcatA1-
dc.description.notesJia, H (corresponding author), Suqian Univ, Dept Math, Suqian 223800, Jiangsu, Peoples R China.-
dc.description.noteshuan.jia@squ.edu.cn-
local.publisher.place530 WALNUT STREET, STE 850, PHILADELPHIA, PA 19106 USA-
local.type.refereedRefereed-
local.type.specifiedArticle-
local.bibliographicCitation.statusEarly view-
dc.identifier.doi10.1080/00927872.2026.2633274-
dc.identifier.isi001714257100001-
local.provider.typewosris-
local.description.affiliation[Jia, Huan] Suqian Univ, Dept Math, Suqian 223800, Jiangsu, Peoples R China.-
local.description.affiliation[Zhang, Yinhuo] Univ Hasselt, Dept Math & Stat, Diepenbeek, Belgium.-
local.uhasselt.internationalyes-
item.fullcitationJia , Huan & ZHANG, Yinhuo (2026) Affineness on Noetherian graded algebras and graded Hopf algebras. In: Communications in Algebra,.-
item.fulltextNo Fulltext-
item.contributorJia , Huan-
item.contributorZHANG, Yinhuo-
item.accessRightsClosed Access-
crisitem.journal.issn0092-7872-
crisitem.journal.eissn1532-4125-
Appears in Collections:Research publications
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