<> Mario Albert <> Resolving Decompositions for Polynomial Modules <> Mathematics <> 6 (2018) 161 (invited contribution) <> www.mdpi.com/journal/mathematics <> dx.doi.org/10.3390/math6090161 <> This article is a revised and expanded version of . Some material on the verification that a decomposition is resolving has been added and some examples have been described in more details. <> journals <> pdf <> 2018 <> combinatorial decompositions, syzygies, resolutions <> computer algebra <>