Details:
Title  Dynamical Gröbner bases over Dedekind rings  Author(s)  Amina Hadj Kacem, Ihsen Yengui  Type  Article in Journal  Abstract  In this paper, we extend the notion of “dynamical Gröbner bases” introduced by the second author to Dedekind rings (with zero divisors). As an application, we dynamically solve the ideal membership problem and compute a generating set for the syzygy module over multivariate polynomial rings with coefficients in Dedekind rings. We also give a partial positive answer to a conjecture about Gröbner rings.  Keywords  Gröbner basis, Dynamical Gröbner basis, Ideal membership problem, Principal rings, Dedekind rings, Gröbner rings, Constructive mathematics  ISSN  00218693 
URL 
http://www.sciencedirect.com/science/article/pii/S0021869310001833 
Language  English  Journal  Journal of Algebra  Volume  324  Number  1  Pages  12  24  Year  2010  Note  Computational Algebra  Edition  0  Translation 
No  Refereed 
No 
