Some results on Gröbner bases over commutative rings

Author:

Adams William W.,Boyle Ann K.

Publisher

Elsevier BV

Subject

Computational Mathematics,Algebra and Number Theory

Reference11 articles.

1. On constructing bases for ideals in polynomial rings over the integers;Ayoub;J. Number Theory,1983

2. A theorem on refining division orders by the reverse lexicographic order;Bayer;Duke Mathematical Journal,1987

3. Ein Algorithmus zum auffinden der Basiselemente des Restklassrings nach einem nulldimensionalen Polynomideal thesis;Buchberger,1965

4. Gröbner bases and primary decomposition of polynomial ideals;Gianni;J. Symbolic Computation,1988

5. Ideal bases and primary decomposition: case of two variables;Lazard;J. Symbolic Computation,1985

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. A New Algorithm for Discussing Gröbner Bases with Parameters;Journal of Symbolic Computation;2002-02

2. Lifting standard bases in filtered structures;Communications in Algebra;1994-01

3. Transitivity for Weak and Strong Gröbner Bases;Journal of Symbolic Computation;1993-01

4. An abstract data type development of graded rings;Design and Implementation of Symbolic Computation Systems;1993

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