Noether Normalization theorem and dynamical Grobner bases over Bezout domains of Krull dimension 1

JOURNAL OF ALGEBRA

卷:492

Article

Gamanda, Maroua¹  Yengui, Ihsen¹ 

[1] Univ Sfax, Fac Sci Sfax, Dept Math, Sfax 3000, Tunisia

关键词: Noether Nomalization theorem;    Monomial order;    Dynamical Grobner bases;    Bezout domains;    Prufer domains;   

DOI  :  10.1016/j.jalgebra.2017.09.002

来源: Elsevier

【 摘 要 】

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. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free