The syzygy theorem for Bézout rings (pdf)
Sur hal hal-01427208
with M. Gamanda, S. Neuwirth and I. Yengui.
preprint 2017.

Abstract : We provide constructive versions of Hilbert's syzygy theorem for Z and Z/NZ following Schreyer's method. Moreover, we extend these results to arbitrary coherent Bézout rings with a divisibility test for the case of finitely generated modules whose module of leading terms is finitely generated.