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http://hdl.handle.net/1942/15985
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DC Field | Value | Language |
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dc.contributor.author | He, J. -W. | - |
dc.contributor.author | Torrecillas, B. | - |
dc.contributor.author | Van Oystaeyen, F. | - |
dc.contributor.author | ZHANG, Yinhuo | - |
dc.date.accessioned | 2013-11-14T11:44:29Z | - |
dc.date.available | 2013-11-14T11:44:29Z | - |
dc.date.issued | 2014 | - |
dc.identifier.citation | COMMUNICATIONS IN ALGEBRA, 42 (1), p. 271-285 | - |
dc.identifier.issn | 0092-7872 | - |
dc.identifier.uri | http://hdl.handle.net/1942/15985 | - |
dc.description.abstract | Let A be a noetherian complete basic semiperfect algebra over an algebraically closed field, and C=A degrees be its dual coalgebra. If A is Artin-Schelter regular, then the local cohomology of A is isomorphic to a shift of twisted bimodule C-1(sigma*) with sigma a coalgebra automorphism. This yields that the balanced dualinzing complex of A is a shift of the twisted bimodule (sigma*)A(1). If sigma is an inner automorphism, then A is Calabi-Yau. An appendix is included to prove a duality theorem of the bounded derived category of quasi-finite comodules over an artinian coalgebra. | - |
dc.description.sponsorship | The authors thank the anonymous referee for his/her valuable suggestions and comments. The work is supported in part by an FWO-grant and grants from NSFC (No. 11171067), ZJNSF (No. LY12A01013), Science and Technology Department of Zhejiang Province (No. 2011R10051), and SRF for ROCS, SEM. The first named author wishes to thank Department of Algebra and Analysis of University of Almeria for its hospitality during his visit. The second author has been supported by the projects MTM2011-27090 from MCIN and FQM-03128 from Junta de Andalucia (FEDER). | - |
dc.language.iso | en | - |
dc.subject.other | Artin-Schelter regular algebra; Calabi-Yau algebra; Derived category; Duality; 16W30; 18E30; 18G10; 16E30 | - |
dc.title | Dualizing complexes of noetherian complete algebras via coalgebras | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 285 | - |
dc.identifier.issue | 1 | - |
dc.identifier.spage | 271 | - |
dc.identifier.volume | 42 | - |
local.bibliographicCitation.jcat | A1 | - |
dc.description.notes | Torrecillas, B (reprint author), Univ Almeria, Dept Algebra & Anal, E-04071 Almeria, Spain. btorreci@ual.es | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.identifier.doi | 10.1080/00927872.2012.713063 | - |
dc.identifier.isi | 000325788500020 | - |
item.fulltext | No Fulltext | - |
item.accessRights | Closed Access | - |
item.contributor | He, J. -W. | - |
item.contributor | Torrecillas, B. | - |
item.contributor | Van Oystaeyen, F. | - |
item.contributor | ZHANG, Yinhuo | - |
item.validation | ecoom 2014 | - |
item.fullcitation | He, J. -W.; Torrecillas, B.; Van Oystaeyen, F. & ZHANG, Yinhuo (2014) Dualizing complexes of noetherian complete algebras via coalgebras. In: COMMUNICATIONS IN ALGEBRA, 42 (1), p. 271-285. | - |
crisitem.journal.issn | 0092-7872 | - |
crisitem.journal.eissn | 1532-4125 | - |
Appears in Collections: | Research publications |
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