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Title: | Hopf dense Galois extensions with applications | Authors: | He, Ji-Wei Van Oystaeyen, Fred ZHANG, Yinhuo |
Issue Date: | 2017 | Source: | JOURNAL OF ALGEBRA, 476, p. 134-160 | 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. | 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 | Keywords: | Hopf dense Galois extension; densely graded algebra; quotient category | Document URI: | http://hdl.handle.net/1942/23443 | ISSN: | 0021-8693 | e-ISSN: | 1090-266X | DOI: | 10.1016/j.jalgebra.2016.12.014 | ISI #: | 000396184000006 | Rights: | © 2016 Elsevier Inc. All rights reserved. | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2018 |
Appears in Collections: | Research publications |
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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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