首页 | 本学科首页   官方微博 | 高级检索  
     


A pure subalgebra of a finitely generated algebra is finitely generated
Authors:Mitsuyasu Hashimoto
Affiliation:Graduate School of Mathematics, Nagoya University, Chikusa-ku, Nagoya 464--8602, Japan
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 $R$.

Keywords:Pure subalgebra   finite generation   flattening.
点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息
点击此处可从《Proceedings of the American Mathematical Society》下载全文
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号