On a theorem of Akizuki concerning the minimal number of generators of an ideal

Question

I am looking for a theorem of Akizuki I was told by my professor. He said me that Akizuki showed in his paper "Zur Idealtheorie der einartigen Ringbereiche mit dem Teilerkettensatz" (1938) a result like the following:

Let $R$ be a Noetherian domain satisfying some hypotheses (local, one dimensional? My professor didn't remember). Then there exists $m \ge 1$ such that every ideal of $R$ is generated by at most $m$ elements.

I cannot find a reference for this theorem in English, so I would like if someone can give me the precise statement of this theorem, and maybe provide me a proof in English.

Thanks for any help.

Answer 1

As @Remy pointed out in comments the result is Theorem 9 in Cohen's paper Commutative rings with restricted minimum condition, which says the following

Let $R$ be a local Noetherian domain. Then $\dim R\le1$ iff there exists $m\ge1$ such that every ideal of $R$ is $m$-generated.

Remark. For $\dim R\le1$ the "mysterious" $m$ can be chosen the multiplicity of $R$.