Saturation of finitely-generated submodules of free modules over Prüfer domains

DOI10.52737/18291163-2021.13.1-1-21OpenAlexW3162830235MaRDI QIDQ5872904

Yengui Ihsen, Ben Amor Faten

Publication date: 4 January 2023

Published in: Armenian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.52737/18291163-2021.13.1-1-21

zbMATH Keywords

abelian groupssaturationechelon formvaluation domainsPrüfer domains

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Torsion groups, primary groups and generalized primary groups (20K10) Torsion-free groups, finite rank (20K15)

Cites Work

• Computing the \textbf{V}-saturation of finitely-generated submodules of \(\mathbf{V} [X^m\) where \textbf{V} is a valuation domain]
• Dynamical Gröbner bases
• Dynamical Gröbner bases over Dedekind rings
• Factoring polynomials with rational coefficients
• Algorithmic theory of arithmetic rings, Prüfer rings and Dedekind rings. (Théorie algorithmique des anneaux arithmétiques, des anneaux de Prüfer et des anneaux de Dedekind.)
• Dynamical method in algebra: Effective Nullstellensätze
• Unnamed Item

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