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Binary forms and orders of algebraic number fields

✍ Scribed by Jin Nakagawa


Publisher
Springer-Verlag
Year
1989
Tongue
English
Weight
701 KB
Volume
97
Category
Article
ISSN
0020-9910

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πŸ“œ SIMILAR VOLUMES


GrΓΆbner Bases in Orders of Algebraic Num
✍ David Andrew Smith πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 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 GrΓΆbner basis g