Separating invariants

نویسنده

  • Gregor Kemper
چکیده

This paper studies separating subsets of an invariant ring or, more generally, of any set consisting of functions. We prove that a subset of a finitely generated algebra always contains a finite separating subset. We also show that a general version of Noether’s degree bound holds for separating invariants, independently of the characteristic. The paper also contains a conceptual investigation of the difference between separating and generating subsets.

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عنوان ژورنال:
  • J. Symb. Comput.

دوره 44  شماره 

صفحات  -

تاریخ انتشار 2009