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On the Vanishing of the First André–Quillen Homology

Cristodor Ionescu

Institute of Mathematics Simion Stoilow, Romanian Academy, P.O. Box 1-764, 014700 Bucharest, Romania

https://doi.org/10.1142/S100538670900056XCited by:1 (Source: Crossref)

Abstract

We study algebras A → B with the property that H₁(A,B,B)=0. They are quite near to smooth algebras, that is why they are called almost smooth algebras. Some applications to the evolution problem of Eisenbud and Mazur are given.

Work supported by the CEEX program of the Romanian Ministry of Education and Research, contract 2-CEx06-11-20/2006.

Keywords:

AMSC: 13D03, 13N05, 18G60

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