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Degree Bounds of Gröbner Bases

In: Algebraic Geometry and its Applications

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  • Wei Li

Abstract

We show that there is no universal bound of Gröbner bases when the coefficient ring is Z. A similar result where the coefficient ring is k[z], k a field, was proved by [1]. While the coefficient ring is a field, such bounds always exist as proved by Weispfenning [16].

Suggested Citation

  • Wei Li, 1994. "Degree Bounds of Gröbner Bases," Springer Books, in: Chandrajit L. Bajaj (ed.), Algebraic Geometry and its Applications, chapter 30, pages 477-490, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-2628-4_30
    DOI: 10.1007/978-1-4612-2628-4_30
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