Deformation theory of abelian categories

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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.
44 pages

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Category Theory, K-Theory and Homology, 13D10; 14A22; 18E15

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http://salesiana.dossiersoluciones.com/handle/123456789/71160

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0405226
 http://arxiv.org/abs/math/0405226

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arXiv