Deformation theory of abelian categories

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dc.creatorLowen, Wenty T.
dc.creatorBergh, Michel Van den
dc.date2004-05-12
dc.date.accessioned2026-07-07T05:08:11Z
dc.date.available2026-07-07T05:08:11Z
dc.descriptionIn 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.
dc.description44 pages
dc.identifierhttps://arxiv.org/abs/math/0405226
dc.identifierhttp://arxiv.org/abs/math/0405226
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71160
dc.subjectCategory Theory
dc.subjectK-Theory and Homology
dc.subject13D10; 14A22; 18E15
dc.titleDeformation theory of abelian categories
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