A pure subalgebra of a finitely generated algebra is finitely generated

Mitsuyasu Hashimoto

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

We prove the following. Let R be a Noetherian commutative ring, B a finitely generated R-algebra, and A a pure R-subalgebra of B. Then A is finitely generated over R.

Original languageEnglish
Pages (from-to)2233-2235
Number of pages3
JournalProceedings of the American Mathematical Society
Volume133
Issue number8
DOIs
Publication statusPublished - Aug 1 2005

Keywords

  • Finite generation
  • Flattening
  • Pure subalgebra

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Fingerprint Dive into the research topics of 'A pure subalgebra of a finitely generated algebra is finitely generated'. Together they form a unique fingerprint.

  • Cite this