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Title: | Nakayama automorphisms of double Ore extensions of Koszul regular algebras | Authors: | Zhu, Can Van Oystaeyen, Fred ZHANG, Yinhuo |
Issue Date: | 2017 | Source: | Manuscripta mathematica, 152(3), p. 555-584 | Abstract: | Let A be a Koszul Artin–Schelter regular algebra and σσ an algebra homomorphism from A to M2×2(A)M2×2(A). We compute the Nakayama automorphisms of a trimmed double Ore extension AP[y1,y2;σ]AP[y1,y2;σ] [introduced in Zhang and Zhang (J Pure Appl Algebra 212:2668–2690, 2008)]. Using a similar method, we also obtain the Nakayama automorphism of a skew polynomial extension A[t;θ]A[t;θ] , where θθ is a graded algebra automorphism of A. These lead to a characterization of the Calabi–Yau property of AP[y1,y2;σ]AP[y1,y2;σ] , the skew Laurent extension A[t±1;θ]A[t±1;θ] and A[y±11,y±12;σ]A[y1±1,y2±1;σ] with σσ a diagonal type. | Notes: | Zhu, C (reprint author), Univ Shanghai Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China czhu@usst.edu.cn; fred.vanoystaeyen@ua.ac.be; yinhuo.zhang@uhasselt.be | Keywords: | Koszul algebra; skew polynomial extension; double Ore extension; skew Laurent extension; Nakayama automorphism; Calabi-Yau algebra | Document URI: | http://hdl.handle.net/1942/23125 | ISSN: | 0025-2611 | e-ISSN: | 1432-1785 | DOI: | 10.1007/s00229-016-0865-8 | ISI #: | 000394376800012 | Rights: | © Springer-Verlag 2016 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2018 |
Appears in Collections: | Research publications |
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Nakayama automorphisms of double Ore extensions of Koszul regular algebras.pdf | Peer-reviewed author version | 622.74 kB | Adobe PDF | View/Open |
skew-laurent-9.pdf Restricted Access | Published version | 419.14 kB | Adobe PDF | View/Open Request a copy |
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