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Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/23443

Title: Hopf dense Galois extensions with applications
Authors: He, Ji-Wei
Van Oystaeyen, Fred
Zhang, Yinhuo
Issue Date: 2017
Citation: 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
URI: http://hdl.handle.net/1942/23443
DOI: 10.1016/j.jalgebra.2016.12.014
ISI #: 000396184000006
ISSN: 0021-8693
Category: A1
Type: Journal Contribution
Appears in Collections: Research publications

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