Andre-Quillen homology of commutative algebras

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These notes are an introduction to basic properties of Andre-Quillen homology for commutative algebras. They are an expanded version of my lectures at the summer school: Interactions between homotopy theory and algebra, University of Chicago, 26th July - 6th August, 2004. The aim is to give fairly complete proofs of characterizations of smooth homomorphisms and of locally complete intersection homomorphisms in terms of vanishing of Andre-Quillen homology. The choice of the material, and the point of view, are guided by these goals.
32 pages; to appear in: Interactions between homotopy theory and algebra (Chicago 2004), Contemp. Math

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Commutative Algebra, Algebraic Topology, 13D03 (Primary); 18G30; 18G55 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/116395

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0609151
 http://arxiv.org/abs/math/0609151

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arXiv