Title
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Dualizing complexes of noetherian complete algebras via coalgebras
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Author
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Abstract
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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. |
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Language
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English
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Source (journal)
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Communications in algebra. - New York, N.Y.
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Publication
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New York, N.Y.
:
2014
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ISSN
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0092-7872
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DOI
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10.1080/00927872.2012.713063
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Volume/pages
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42
:1
(2014)
, p. 271-285
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ISI
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000325788500020
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Full text (Publisher's DOI)
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