In Ivanov's *Finite Approximability of Modular Teichmüller Groups*, for the proof of Lemma 2, the following is stated:

Let $G$ be a finitely generated group and $\tau: G \to \operatorname{PSL}(2,\mathbb{R})$ be a homomorphism. [...] Since $G$ is finitely generated, $\tau(G) \subset \operatorname{PSL}(2,A)$ for some finitely generated ring $A \subset \mathbb{R}$. It is well known that such a ring is finitely approximable, i.e. for any $d \in A$, $d \neq 0$, there is an ideal $J$ such that $A/J$ is finite and $d \notin J$.

The reference given for this is:

Yu. I. Merzlyakov, Rational Groups [in Russian], Nauka, Moscow (1980)

Unfortunately, I am unable to find the original article or a translation, Google only comes up with other articles and textbooks using the same reference.

Could anyone point me to the article in question or maybe a different article where I could look up a proof for this fact?

**EDIT:** It has been pointed out to me that the original Russian version can be found by searching for "Merzlyakov gruppy Nauka 1980 djvu". Since I don't understand Russian, I was hoping to find a translation, or **a different reference for the fact stated**.