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DC Field | Value | Language |
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dc.contributor.author | He, Ji-Wei | - |
dc.contributor.author | Van Oystaeyen, Fred | - |
dc.contributor.author | ZHANG, Yinhuo | - |
dc.date.accessioned | 2017-04-04T12:19:21Z | - |
dc.date.available | 2017-04-04T12:19:21Z | - |
dc.date.issued | 2017 | - |
dc.identifier.citation | JOURNAL OF ALGEBRA, 476, p. 134-160 | - |
dc.identifier.issn | 0021-8693 | - |
dc.identifier.uri | http://hdl.handle.net/1942/23443 | - |
dc.description.abstract | Let H be a finite dimensional Hopf algebra, and let A be a left H-module algebra. Motivated by the study of the isolated singularities of AH and the endomorphism ring EndAH (A), we introduce the concept of Hopf dense Galois extensions in this paper. Hopf dense Galois extensions yield certain equivalences between the quotient categories over A and AH. A special class of Hopf dense Galois extensions consists of the so-called densely group graded algebras, which are weaker versions of strongly graded algebras. A weaker version of Dade’s Theorem holds for densely group graded algebras. As applications, we recover the classical equivalence of the noncommutative projective scheme over a noetherian N-graded algebra A and its d-th Veronese subalgebra A(d) respectively. Hopf dense Galois extensions are also applied to the study of noncommutative graded isolated singularities. © 2016 Elsevier Inc. | - |
dc.description.sponsorship | The first author is supported by NSFC (Nos. 11571239 and 11671351), and a grant from Hangzhou Normal University. The second and the third authors are supported by an FWO-grant G.0117.10N. We thank James J. Zhang for useful conversations and sharing his interesting ideas on the subject, and Zhu Ruipeng for his useful comments. We are very grateful to the referee for his/her great patience to read the earlier versions of the manuscript and valuable remarks and comments which greatly improve the quality and readability of the paper. Especially, Theorem 4.9 was suggested by the referee to the authors, which is much more general than the one appeared in the original version of the manuscript. | - |
dc.language.iso | en | - |
dc.rights | © 2016 Elsevier Inc. All rights reserved. | - |
dc.subject.other | Hopf dense Galois extension; densely graded algebra; quotient category | - |
dc.title | Hopf dense Galois extensions with applications | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 160 | - |
dc.identifier.spage | 134 | - |
dc.identifier.volume | 476 | - |
local.bibliographicCitation.jcat | A1 | - |
dc.description.notes | He, JW (reprint author), Hangzhou Normal Univ, Dept Math, Hangzhou 310036, Zhejiang, Peoples R China. jwhe@hznu.edu.cn; fred.vanoystaeyen@ua.ac.be; yinhuo.zhang@uhasselt.be | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.identifier.doi | 10.1016/j.jalgebra.2016.12.014 | - |
dc.identifier.isi | 000396184000006 | - |
item.fullcitation | He, Ji-Wei; Van Oystaeyen, Fred & ZHANG, Yinhuo (2017) Hopf dense Galois extensions with applications. In: JOURNAL OF ALGEBRA, 476, p. 134-160. | - |
item.fulltext | With Fulltext | - |
item.validation | ecoom 2018 | - |
item.contributor | He, Ji-Wei | - |
item.contributor | Van Oystaeyen, Fred | - |
item.contributor | ZHANG, Yinhuo | - |
item.accessRights | Open Access | - |
crisitem.journal.issn | 0021-8693 | - |
crisitem.journal.eissn | 1090-266X | - |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
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Hopf dense Galois extensions with applications.pdf Restricted Access | Published version | 525.56 kB | Adobe PDF | View/Open Request a copy |
qgaloisext2.pdf | Peer-reviewed author version | 400.43 kB | Adobe PDF | View/Open |
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