The infiniteness of the SAGBI bases for certain invariant rings.
zbMath1045.13012MaRDI QIDQ1847611
Publication date: 10 December 2002
Published in: Osaka Journal of Mathematics (Search for Journal in Brave)
finite permutation groupspolynomial invariantsLaurent polynomialfinite generation of initial algebrasinitial termsmultiplicative ordersSAGBIsubalgebra analogue to Gröbner bases for idealssubalgebra of invariants of a permutation group
Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Actions of groups on commutative rings; invariant theory (13A50) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Group actions on affine varieties (14R20)
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