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Gröbner bases of certain zero-dimensional ideals arising in coding theory

✍ Scribed by Hidefumi Ohsugi; Daisuke Ikegami; Tomonori Kitamura; Takayuki Hibi

Book ID
108421671
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
153 KB
Volume
31
Category
Article
ISSN
0196-8858

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A new notion of reduction: Generating un
A new notion of reduction: Generating universal Gröbner bases of ideals in K[x, y]
✍ W. Herfort; H. Penz 📂 Article 📅 1991 🏛 Elsevier Science 🌐 English ⚖ 996 KB

In this paper a new notion of reduction depending on an arbitrary non-empty set ORD of term orderings on a polynomial ring is introduced. A general Buchberger algorithm based on this notion is devised. For a single element set ORD it specializes to the ordinary Buehberger algorithm. For ORD being th