On the construction of Gröbner bases using syzygies-Reference-Cited by-同舟云学术

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On the construction of Gröbner bases using syzygies

Published:1988-10 Issue:2-3 Volume:6 Page:345-359
ISSN:0747-7171
Container-title:Journal of Symbolic Computation
language:en
Short-container-title:Journal of Symbolic Computation

Author:

Möller H. Michael

Publisher

Elsevier BV

Subject

Computational Mathematics,Algebra and Number Theory

Reference19 articles.

1. Ein Algorithmus zum Auffinden der Basiselemente des Restkiassenrings nach einem nulldimensionalen Polynomideal;Buchberger,1965

2. A criterion for detecting unnecessary reductions in the construction of Gröbner bases;Buchberger,1979

3. A critical-pair/completion algorithm for finitely, generated ideals;Buchberger,1983

4. Gröbner bases: An algorithmic method in polynomial ideal theory;Buchberger,1985

5. On an installation of Buchberger's algorithm;Gebauer;J. Symbol. Comput.,1988

Cited by 52 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. Solving systems of algebraic equations over finite commutative rings and applications;Applicable Algebra in Engineering, Communication and Computing;2024-04-24

2. Efficiency strong Gröbner bases computation over principal ideal ring;AIP Conference Proceedings;2024

3. Signature Gröbner bases in free algebras over rings;Proceedings of the 2023 International Symposium on Symbolic and Algebraic Computation;2023-07-24

4. A new algorithm for computing staggered linear bases;Journal of Symbolic Computation;2023-07

5. De Nugis Groebnerialium 7: Janet, Gerdt, Tamari;Mathematics in Computer Science;2022-11-28

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