On the vanishing and non-rigidity of the André-Quillen (co)homology

✍ Scribed by Francesc Planas-Vilanova

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 606 KB
• Volume: 120
• Category: Article
• ISSN: 0022-4049
• DOI: 10.1016/s0022-4049(96)00062-x

✦ Synopsis

Let I be an ideal of a commutative ring A and B = A/Z. Given n 2 2, we characterize the vanishing of the Andrk-Quillen homology modules r-I,(A, B, W) for all B-modules W and for all p, 2 5 p 5 n, in terms of some canonical morphisms. As a corollary, we obtain a new proof of a theorem of And6 Finally, we construct an example of an ideal Z of a commutative ring A such that Hz(A,B, W) = 0 and H3(A,B, W) = W for all B-module W. @ 1997 Elsevier Science B.V.