A pure subalgebra of a finitely generated algebra is finitely generated

DOI10.1090/S0002-9939-05-07967-0zbMath1098.13021arXivmath/0406286OpenAlexW1606366747MaRDI QIDQ4671860

Mitsuyasu Hashimoto

Publication date: 27 April 2005

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0406286

zbMATH Keywords

flatteningnoetherian commutative ring

Mathematics Subject Classification ID

Structure, classification theorems for modules and ideals in commutative rings (13C05) Commutative rings and modules of finite generation or presentation; number of generators (13E15)

Related Items (6)

Recent progress on submersions: a survey and new properties ⋮ Connected components of compact matrix quantum groups and finiteness conditions ⋮ Equivariant class group. II. Enriched descent theorem ⋮ Riemann-Roch for equivariant \(K\)-theory ⋮ PURE SUBRINGS OF COMMUTATIVE RINGS ⋮ A categorical approach to Picard-Vessiot theory

Cites Work

• Singularités rationnelles et quotients par les groupes réductifs. (Rational singularities and quotients by reductive groups)
• Rings of invariants of reductive groups acting on regular rings are Cohen-Macaulay
• ``Geometric quotients are algebraic schemes based on Fogarty's idea
• Applications of the existence of big Cohen-Macaulay algebras
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Séconde partie)
• Critères de platitude et de projectivité. Techniques de platification d'un module. (Criterial of flatness and projectivity. Technics of flatification of a module.)
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