# All questions with tag [math: algebras]

1

## Lemma on finite generation of algebras over a field

I saw this lemma in some lecture notes, there was no proof given nor a reference, only a statement that it can be found in any text-book on commutative algebra. I checked several but couldn't find it.
Let $F$ be a field, $B$ an $F$-algebra which is an integral domain, $A$ a Noetherian subalgebra of $B$, and such that $B$ is integral over $A$, a...

2022-07-19 21:43:58