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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. : 2006
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| ISSN |
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0002-9947 [Print]
1088-6850 [Online]
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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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