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Your search keyword '"Maroua Gamanda"' showing total 4 results
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4 results on '"Maroua Gamanda"'

2. The syzygy theorem for Bézout rings

Author

Stefan Neuwirth, Ihsen Yengui, Henri Lombardi, Maroua Gamanda, Département de Mathematiques [Sfax], Faculté des Sciences de Sfax, Université de Sfax - University of Sfax-Université de Sfax - University of Sfax, Laboratoire de Mathématiques de Besançon (UMR 6623) (LMB), Université de Bourgogne (UB)-Université de Franche-Comté (UFC), Université Bourgogne Franche-Comté [COMUE] (UBFC)-Université Bourgogne Franche-Comté [COMUE] (UBFC)-Centre National de la Recherche Scientifique (CNRS), John Templeton Foundation (ID 60842), ANR-15-IDEX-0003,BFC,ISITE ' BFC(2015), Fédération Bourgogne Franche-Comté Mathématiques (BFC-Math ), Université de Bourgogne (UB)-Centre National de la Recherche Scientifique (CNRS)-Université de Franche-Comté (UFC), Université Bourgogne Franche-Comté [COMUE] (UBFC)-Université Bourgogne Franche-Comté [COMUE] (UBFC)-Université de Bourgogne (UB)-Centre National de la Recherche Scientifique (CNRS)-Université de Franche-Comté (UFC), Université Bourgogne Franche-Comté [COMUE] (UBFC)-Université Bourgogne Franche-Comté [COMUE] (UBFC), and ANR: 15-IDEX-0003,BFC,ISITE « BFC(2015)

Subjects
Pure mathematics, [MATH.MATH-AC]Mathematics [math]/Commutative Algebra [math.AC], Schreyer's syzygy algorithm, 010103 numerical & computational mathematics, 01 natural sciences, Constructive, Valuation ring, MSC 2010: 13D02, 13P10, 13C10, 13P20, 14Q20, Finitely-generated abelian group, 0101 mathematics, Syzygy theorem, Gröbner ring, Monomial order, strict Bézout ring, Mathematics, Algebra and Number Theory, Hilbert's syzygy theorem, Mathematics::Commutative Algebra, monomial order, valuation ring, Applied Mathematics, 010102 general mathematics, free resolution, Divisibility rule, Mathematics - Commutative Algebra, 16. Peace & justice, dynamical Gröbner basis, 13D02, 13P10, 13C10, 13P20, 14Q20, Schreyer's monomial order, Computational Mathematics
Abstract

International audience; We provide constructive versions of Hilbert's syzygy theorem for Z and Z/nZ following Schreyer's method. Moreover, we extend these results to arbitrary coherent strict Bézout rings with a divisibility test for the case of finitely generated modules whose module of leading terms is finitely generated.

Published
2019
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3. Noether Normalization theorem and dynamical Gröbner bases over Bezout domains of Krull dimension 1

Author

Ihsen Yengui and Maroua Gamanda

Subjects
Normalization (statistics), Algebra and Number Theory, Mathematics::Commutative Algebra, Mathematics::Rings and Algebras, 010102 general mathematics, 010103 numerical & computational mathematics, 01 natural sciences, Algebra, Krull's principal ideal theorem, symbols.namesake, symbols, Computer Science::Symbolic Computation, Bézout domain, Krull dimension, 0101 mathematics, Noether's theorem, Mathematics
Abstract

We propose a new version of Noether normalization theorem over Bezout domains of Krull dimension one (the ring Z of integers as main example). We also show that one can avoid branching when computing dynamical Grobner bases over a Bezout domain of Krull dimension one.

Published
2017
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