The Optimal Lower Bound for Generators of Invariant Rings without Finite SAGBIBases with Respect to Any Admissible Order
We prove the existence of an invariant ring C[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 suc...
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Format: | Article |
Language: | English |
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Discrete Mathematics & Theoretical Computer Science
1999-12-01
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Series: | Discrete Mathematics & Theoretical Computer Science |
Online Access: | http://www.dmtcs.org/dmtcs-ojs/index.php/dmtcs/article/view/97 |