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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Wang, Xingting | - |
dc.contributor.author | Yu, Xiaolan | - |
dc.contributor.author | ZHANG, Yinhuo | - |
dc.date.accessioned | 2017-08-01T10:55:39Z | - |
dc.date.available | 2017-08-01T10:55:39Z | - |
dc.date.issued | 2017 | - |
dc.identifier.citation | PACIFIC JOURNAL OF MATHEMATICS, 290 (2), p. 481-510 | - |
dc.identifier.issn | 0030-8730 | - |
dc.identifier.uri | http://hdl.handle.net/1942/24030 | - |
dc.description.abstract | Let H and L be two Hopf algebras such that their comodule categories are monoidally equivalent. We prove that if H is a twisted Calabi–Yau (CY) Hopf algebra, then L is a twisted CY algebra when it is homologically smooth. In particular, if H is a Noetherian twisted CY Hopf algebra and L has finite global dimension, then L is a twisted CY algebra. | - |
dc.description.sponsorship | The authors sincerely thank the referee for his/her valuable comments and suggestions that helped them to improve the paper quite a lot. Wang and Yu are grateful to the Department of Mathematics of Zhejiang Normal University for the hospitality they received during a visit in summer 2016. Wang is supported by AMS-Simons travel grant. Yu is supported by grants from NSFC (No. 11301126, No. 11571316, No. 11671351). | - |
dc.language.iso | en | - |
dc.rights | © 2017 Mathematical Sciences Publisher | - |
dc.subject.other | Morita–Takeuchi equivalence; Calabi–Yau algebra; cogroupoid | - |
dc.title | Calabi–Yau property under monoidal Morita–Takeuchi equivalence | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 510 | - |
dc.identifier.issue | 2 | - |
dc.identifier.spage | 481 | - |
dc.identifier.volume | 290 | - |
local.bibliographicCitation.jcat | A1 | - |
dc.description.notes | Wang, XT (reprint author), Temple Univ, Dept Math, Philadelphia, PA 19122 USA. xingting@temple.edu; xlyu@hznu.edu.cn; yinhuo.zhang@uhasselt.be | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.identifier.doi | 10.2140/pjm.2017.290.481 | - |
dc.identifier.isi | 000409093000010 | - |
dc.identifier.url | http://msp.org/pjm/2017/290-2/index.xhtml | - |
item.fullcitation | Wang, Xingting; Yu, Xiaolan & ZHANG, Yinhuo (2017) Calabi–Yau property under monoidal Morita–Takeuchi equivalence. In: PACIFIC JOURNAL OF MATHEMATICS, 290 (2), p. 481-510. | - |
item.fulltext | With Fulltext | - |
item.validation | ecoom 2018 | - |
item.contributor | Wang, Xingting | - |
item.contributor | Yu, Xiaolan | - |
item.contributor | ZHANG, Yinhuo | - |
item.accessRights | Open Access | - |
crisitem.journal.issn | 0030-8730 | - |
crisitem.journal.eissn | 1945-5844 | - |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
comodule13.pdf | Peer-reviewed author version | 474.74 kB | Adobe PDF | View/Open |
Calabi-Yau property under monoidal Morita-Takeuchi equivalences.pdf | Published version | 457.11 kB | Adobe PDF | View/Open |
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