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1. Computing the V-saturation of finitely-generated submodules of [formula omitted] where V is a valuation domain.

Author

Ducos, Lionel, Monceur, Samiha, and Yengui, Ihsen

Subjects
*SYZYGIES (Mathematics), *CATEGORIES (Mathematics), *ALGORITHMS, *COMPUTER algorithms, *COMPUTER programming
Abstract

Recently, Lombardi, Quitté and Yengui have given a Gröbner-free algorithm which computes the V -saturation of any finitely generated submodule of V [ X ] n , where V is a valuation domain. The goal of this paper is to clarify this algorithm, to give precise complexity bounds, and a complete submodule membership test for the saturation. As application, we give precise degree bounds on syzygies over V [ X ] . [ABSTRACT FROM AUTHOR]

Published
2016
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