A pure subalgebra of a finitely generated algebra is finitely generated
Commutative Algebra
2010-11-30 v1 Algebraic Geometry
Abstract
We prove the following. Let be a Noetherian ring, a finitely generated -algebra, and a pure -subalgebra of . Then is finitely generated over .
Cite
@article{arxiv.math/0406286,
title = {A pure subalgebra of a finitely generated algebra is finitely generated},
author = {Mitsuyasu Hashimoto},
journal= {arXiv preprint arXiv:math/0406286},
year = {2010}
}
Comments
4 pages