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Separating invariants
- Source :
-
Journal of Symbolic Computation . Sep2009, Vol. 44 Issue 9, p1212-1222. 11p. - Publication Year :
- 2009
-
Abstract
- Abstract: 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. While the general finiteness result is non-constructive, the Noether bound provides an easy algorithm for computing separating invariants of finite groups. The paper also contains a conceptual investigation of the difference between separating and generating subsets. [Copyright &y& Elsevier]
- Subjects :
- *ALGEBRA
*MATHEMATICS
*MATHEMATICAL combinations
*COMMUTATIVE algebra
Subjects
Details
- Language :
- English
- ISSN :
- 07477171
- Volume :
- 44
- Issue :
- 9
- Database :
- Academic Search Index
- Journal :
- Journal of Symbolic Computation
- Publication Type :
- Academic Journal
- Accession number :
- 40628312
- Full Text :
- https://doi.org/10.1016/j.jsc.2008.02.012