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.References
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Additional Information
- Francesc Planas-Vilanova
- Affiliation: Departament de Matemàtica Aplicada I, ETSEIB, Universitat Politècnica de Catalunya, Diagonal 647, E-08028 Barcelona, Spain
- Email: planas@ma1.upc.es
- Received by editor(s): November 4, 1994
- Received by editor(s) in revised form: April 18, 1995
- Communicated by: Wolmer V. Vasconcelos
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 3015-3017
- MSC (1991): Primary 13F05, 13A30; Secondary 13D03
- DOI: https://doi.org/10.1090/S0002-9939-96-03416-8
- MathSciNet review: 1328371