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2 results on '"13CXX, 13PXX"'

1. An algorithm for computing syzygies on $V[X]$ when $V$ is a valuation domain

Author

Lombardi, Henri, Quitté, Claude, and Yengui, Ihsen

Subjects
Mathematics - Commutative Algebra, 13CXX, 13PXX
Abstract

We give an algorithm for computing the V-saturation of any finitely-generated submodule of a power of V[X], where V is a valuation domain. Our algorithm is based on a notion of "echelon form" which ensures its correctness. This allows us to compute a finite system of generators for the syzygy module of any finitely generated submodule of a power of V[X]., Comment: 4 figures

Published
2023
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2. An algorithm for computing syzygies on $V[X]$ when $V$ is a valuation domain

Author

Henri, Lombardi, Claude, Quitté, and Ihsen, Yengui

Subjects
13CXX, 13PXX, FOS: Mathematics, Commutative Algebra (math.AC), Mathematics - Commutative Algebra
Abstract

We give an algorithm for computing the V-saturation of any finitely-generated submodule of a power of V[X], where V is a valuation domain. Our algorithm is based on a notion of "echelon form" which ensures its correctness. This allows us to compute a finite system of generators for the syzygy module of any finitely generated submodule of a power of V[X]., 4 figures

Published
2023

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