منابع مشابه
André-Quillen homology of commutative algebras
These notes are an introduction to basic properties of AndréQuillen 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 hom...
متن کامل(co-)homology Theories for Commutative (s-)algebras
The aim of this paper is to give an overview of some of the existing homology theories for commutative (S-)algebras. We do not claim any originality; nor do we pretend to give a complete account. But the results in that field are widely spread in the literature, so for someone who does not actually work in that subject, it can be difficult to trace all the relationships between the different ho...
متن کاملHomology of Moduli Spaces of Curves and Commutative Homotopy Algebras
There have been a number of mathematical results recently identifying algebras over certain operads [4, 25, 17, 28, 16, 10, 14, 11]. See [1, 26] for expository surveys of the basics of operad theory. Before citing any of these results, let us mention some trivial classical examples. Let A denote one of the three words: “commutative”, “associative” and “Lie”. In each of these cases, consider the...
متن کاملOn Simplicial Commutative Algebras with Vanishing André-quillen Homology
In this paper, we study the André-Quillen homology of simplicial commutative l-algebras, l a field, having certain vanishing properties. When l has non-zero characteristic, we obtain an algebraic version of a theorem of J.-P. Serre and Y. Umeda that characterizes such simplicial algebras having bounded homotopy groups. We further discuss how this theorem fails in the rational case and, as an ap...
متن کاملTopological André-quillen Homology for Cellular Commutative S-algebras
Topological André-Quillen homology for commutative S-algebras was introduced by Basterra following work of Kriz, and has been intensively studied by several authors. In this paper we discuss it as a homology theory on CW commutative S-algebras and apply it to obtain results on minimal atomic p-local S-algebras which generalise those of Baker and May for p-local spectra and simply connected spac...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 1996
ISSN: 0022-4049
DOI: 10.1016/0022-4049(95)00083-6