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Enumeration of finite monomial orderings and combinatorics of universal Gröbner bases

✍ Scribed by N. N. Vasiliev; D. A. Pavlov

Book ID
110190934
Publisher
SP MAIK Nauka/Interperiodica
Year
2009
Tongue
English
Weight
277 KB
Volume
35
Category
Article
ISSN
0361-7688

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✍ David Andrew Smith 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 281 KB

We prove that any order O of any algebraic number field K is a reduction ring. Rather than showing the axioms for a reduction ring hold, we start from scratch by well-ordering O, defining a division algorithm, and demonstrating how to use it in a Buchberger algorithm which computes a Gröbner basis g