Rings of weak dimension one and syzygetic ideals

Planas-Vilanova, Francesc

doi:10.1090/S0002-9939-96-03416-8

Rings of weak dimension one and syzygetic ideals
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by Francesc Planas-Vilanova PDF

Proc. Amer. Math. Soc. 124 (1996), 3015-3017 Request permission

Abstract:

We prove that rings of weak dimension one are the rings with all (three-generated) ideals syzygetic. This leads to a characterization of these rings in terms of the André-Quillen homology.

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