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

نویسنده

  • Manfred Göbel
چکیده

)( was investigated. It turned out that only invariant rings of direct products of symmetric groups have a finite SAGBI basis, which is then, in addition, multilinear. Of course, it would be of interest to have such a strong characterization with respect to any other admissible order [4, 6]. To achieve this seems to be all but trivial. One step towards the understanding of the behavior of SAGBI bases for invariant rings with respect to any admissible order is the investigation of important special cases. Recently, the non-finiteness of SAGBI bases for *,+

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عنوان ژورنال:
  • Discrete Mathematics & Theoretical Computer Science

دوره 3  شماره 

صفحات  -

تاریخ انتشار 1999