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Journal Articles Discrete Mathematics and Theoretical Computer Science Year : 1999

The Optimal Lower Bound for Generators of Invariant Rings without Finite SAGBI Bases with Respect to Any Admissible Order

Abstract

We prove the existence of an invariant ring \textbfC[X_1,...,X_n]^T generated by elements with a total degree of at most 2, which has no finite SAGBI basis with respect to any admissible order. Therefore, 2 is the optimal lower bound for the total degree of generators of invariant rings with such a property.
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Dates and versions

hal-00958927 , version 1 (13-03-2014)

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Manfred Göbel. The Optimal Lower Bound for Generators of Invariant Rings without Finite SAGBI Bases with Respect to Any Admissible Order. Discrete Mathematics and Theoretical Computer Science, 1999, Vol. 3 no. 2 (2), pp.65-70. ⟨10.46298/dmtcs.259⟩. ⟨hal-00958927⟩

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