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Title
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Skew polynomial algebras with coefficients in Koszul Artin-Schelter regular algebras
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Author
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Abstract
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| Let A be a Koszul Artin-Schelter regular algebra with Nakayama automorphism xi. We show that the Yoneda Ext-algebra of the skew polynomial algebra A[z; xi] is a trivial extension of a Frobenius algebra. Then we prove that A[z; xi] is Calabi-Yau; and hence each Koszul Artin-Schelter regular algebra is a subalgebra of a Koszul Calabi-Yau algebra. A superpotential (w) over cap is also constructed so that the Calabi-Yau algebra A[z; xi] is isomorphic to the derivation quotient of (w) over cap. The Calabi-Yau property of a skew polynomial algebra with coefficients in a PBW-deformation of a Koszul Artin-Schelter regular algebra is also discussed. (C) 2013 Elsevier Inc. All rights reserved. |
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Language
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English
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Source (journal)
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Journal of algebra. - New York, N.Y., 1964, currens
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Publication
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New York, N.Y.
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Academic Press
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2013
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ISSN
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0021-8693
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DOI
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10.1016/J.JALGEBRA.2013.05.023
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Volume/pages
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390
(2013)
, p. 231-249
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ISI
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000321798700013
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Full text (Publisher's DOI)
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Full text (publisher's version - intranet only)
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