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- Hochster–Roberts_theorem abstract "In algebra, the Hochster–Roberts theorem, introduced by Hochster and Roberts (1974), states that rings of invariants of reductive groups acting on regular rings are Cohen–Macaulay.In other words,If V is a rational representation of a reductive group G over a field k, then there exist algebraically independent invariant homogeneous polynomials such that is a free finite graded module over .Boutot (1987) proved that if a variety has rational singularities then so does its quotient by the action of a reductive group; this implies the Hochster–Roberts theorem as rational singularities are Cohen–Macaulay.".
- Hochster–Roberts_theorem wikiPageID "38039504".
- Hochster–Roberts_theorem wikiPageRevisionID "569591527".
- Hochster–Roberts_theorem subject Category:Theorems_in_algebra.
- Hochster–Roberts_theorem comment "In algebra, the Hochster–Roberts theorem, introduced by Hochster and Roberts (1974), states that rings of invariants of reductive groups acting on regular rings are Cohen–Macaulay.In other words,If V is a rational representation of a reductive group G over a field k, then there exist algebraically independent invariant homogeneous polynomials such that is a free finite graded module over .Boutot (1987) proved that if a variety has rational singularities then so does its quotient by the action of a reductive group; this implies the Hochster–Roberts theorem as rational singularities are Cohen–Macaulay.".
- Hochster–Roberts_theorem label "Hochster–Roberts theorem".
- Hochster–Roberts_theorem sameAs Hochster%E2%80%93Roberts_theorem.
- Hochster–Roberts_theorem sameAs Q5875438.
- Hochster–Roberts_theorem sameAs Q5875438.
- Hochster–Roberts_theorem wasDerivedFrom Hochster–Roberts_theorem?oldid=569591527.