Finitely generated and not finitely generated rings

Abstract

Let $R_1$ be a commutative ring, let $R_2$ be a finitely generated extension ring of $R_1$, and let $S$ be a ring that is intermediate between $R_1$ and $R_2$. For $R_1=R[x]$ and $R_2=R[x,y]$, this paper gives simple combinatorial constructions of intermediate rings $S$ that are not finitely generated over $R[x]$.

arXiv comment3 pages

Cited by in corpus (1)

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