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Title
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Deformation theory of abelian categories
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Author
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Abstract
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| In this paper we develop the basic infinitesimal deformation theory of abelian categories. This theory yields a natural generalization of the well-known deformation theory of algebras developed by Gerstenhaber. As part of our deformation theory we define a notion of flatness for abelian categories. We show that various basic properties are preserved under flat deformations, and we construct several equivalences between deformation problems. |
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Language
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English
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Source (journal)
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Transactions of the American Mathematical Society. - Providence, R.I.
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Publication
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Providence, R.I.
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2006
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ISSN
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0002-9947
[Print]
1088-6850
[Online]
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DOI
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10.1090/S0002-9947-06-03871-2
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Volume/pages
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358
:12
(2006)
, p. 5441-5483
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ISI
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000242401400010
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Full text (Publisher's DOI)
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Full text (open access)
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