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Title
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The strong Brauer group of a cocommutative coalgebra
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Author
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Abstract
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| Using strong equivalences for coalgebras we define the strong Brauer group of a cocommutative coalgebra C, which is a subgroup of the Brauer group of C. In general there is not a good relation between the Brauer group of a coalgebra and the Brauer group of the dual algebra C-*, the former is not even a torsion group. We find that this subgroups embeds in the Brauer group of C-*. A key tool in this result is the use of techniques from torsion theory. Some cases where both subgroups coincide are shown, for example, C being coreflexive. (C) 2002 Elsevier Science B.V. 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 pure and applied algebra. - Amsterdam
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Publication
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Amsterdam
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2002
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ISSN
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0022-4049
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DOI
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10.1016/S0022-4049(01)00086-X
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Volume/pages
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171
:1
(2002)
, p. 1-15
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ISI
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000175978200001
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Full text (Publisher's DOI)
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Full text (open access)
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