Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/24030
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dc.contributor.authorWang, Xingting-
dc.contributor.authorYu, Xiaolan-
dc.contributor.authorZHANG, Yinhuo-
dc.date.accessioned2017-08-01T10:55:39Z-
dc.date.available2017-08-01T10:55:39Z-
dc.date.issued2017-
dc.identifier.citationPACIFIC JOURNAL OF MATHEMATICS, 290 (2), p. 481-510-
dc.identifier.issn0030-8730-
dc.identifier.urihttp://hdl.handle.net/1942/24030-
dc.description.abstractLet 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.sponsorshipThe 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.isoen-
dc.rights© 2017 Mathematical Sciences Publisher-
dc.subject.otherMorita–Takeuchi equivalence; Calabi–Yau algebra; cogroupoid-
dc.titleCalabi–Yau property under monoidal Morita–Takeuchi equivalence-
dc.typeJournal Contribution-
dc.identifier.epage510-
dc.identifier.issue2-
dc.identifier.spage481-
dc.identifier.volume290-
local.bibliographicCitation.jcatA1-
dc.description.notesWang, XT (reprint author), Temple Univ, Dept Math, Philadelphia, PA 19122 USA. xingting@temple.edu; xlyu@hznu.edu.cn; yinhuo.zhang@uhasselt.be-
local.type.refereedRefereed-
local.type.specifiedArticle-
dc.identifier.doi10.2140/pjm.2017.290.481-
dc.identifier.isi000409093000010-
dc.identifier.urlhttp://msp.org/pjm/2017/290-2/index.xhtml-
item.validationecoom 2018-
item.contributorWang, Xingting-
item.contributorYu, Xiaolan-
item.contributorZHANG, Yinhuo-
item.fullcitationWang, 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.fulltextWith Fulltext-
item.accessRightsOpen Access-
crisitem.journal.issn0030-8730-
crisitem.journal.eissn1945-5844-
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