Modular Algorithms for Computing Minimal Associated Primes and Radicals of Polynomial Ideals-Reference-Cited by-同舟云学术

Modular Algorithms for Computing Minimal Associated Primes and Radicals of Polynomial Ideals

Published:2018-07-11 Issue: Volume: Page:
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Container-title:Proceedings of the 2018 ACM International Symposium on Symbolic and Algebraic Computation
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Author:

Aoyama Toru¹,Noro Masayuki²

Affiliation:

1. Kobe University & Rikkyo University, Kobe & Tokyo, Japan

2. Rikkyo University, Tokyo, Japan

Funder

Japan Society for the Promotion of Science KAKENHI

Publisher

ACM

Link

https://dl.acm.org/doi/pdf/10.1145/3208976.3209014

Reference15 articles.

1. An Algorithm for Computing Minimal Associated Primes of Binomial Ideals without Producing Redundant Components

2. T. Aoyama. 2017. A Singular package of modular algorithms for Laplagne's algorithm. http://www.math.kobe-u.ac.jp/HOME/taoyama/singular/modLap.lib T. Aoyama. 2017. A Singular package of modular algorithms for Laplagne's algorithm. http://www.math.kobe-u.ac.jp/HOME/taoyama/singular/modLap.lib

3. Modular algorithms for computing Gröbner bases

4. M.F. Atiyah and I.G. MacDonald. 1969. Introduction to commutative algebra. Westview Press. M.F. Atiyah and I.G. MacDonald. 1969. Introduction to commutative algebra. Westview Press.

5. W. Decker G-M. Greuel and G. Pfister. 1999. Primary decomposition: Algorithms and comparisons. Algorithmic algebra and number theory (1999) 187--220. W. Decker G-M. Greuel and G. Pfister. 1999. Primary decomposition: Algorithms and comparisons. Algorithmic algebra and number theory (1999) 187--220.

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