On syzygy modules over Laurent polynomial rings

DOI10.1155/2020/5803914zbMath1471.13057OpenAlexW3023168094MaRDI QIDQ779968

Morou Amidou, Ousmane Moussa Tessa

Publication date: 14 July 2020

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/5803914

zbMATH Keywords

Gröbner basisLaurent polynomialsDedekind ringsdynamical Gröbner basis

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Cites Work

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• Corrigendum to ``Dynamical Gröbner bases and to ``Dynamical Gröbner bases over Dedekind rings
• Dynamical Gröbner bases
• An algorithm for unimodular completion over Laurent polynomial rings
• Dynamical Gröbner bases over Dedekind rings
• Algorithmic theory of arithmetic rings, Prüfer rings and Dedekind rings. (Théorie algorithmique des anneaux arithmétiques, des anneaux de Prüfer et des anneaux de Dedekind.)
• Commutative algebra: constructive methods. Finite projective modules. Translated from the French by Tania K. Roblot
• Constructive commutative algebra. Projective modules over polynomial rings and dynamical Gröbner bases
• The syzygy theorem for Bézout rings
• Dynamical method in algebra: Effective Nullstellensätze
• Hidden constructions in abstract algebra. I: Integral dependance.

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