let R be a subring of $ Q $ contaning $1$. then For every maximal ideal m in R ,the residue field $ R/m$ is finite . TRue/false

Question

Is the following statement is true ??

let R be a subring of $ Q $ contaning $1$. then

For every maximal ideal m in R ,the residue field $ R/m$ is finite

i thinks This statement is true because every finite integral domain is field....as R/m is finite..

Is its true/false?

pliz give me any Hints/solution

thanks u......................................................................................................................................................................................................................................

Answer 1

Hint: The problem statement does not speak of a proper subring.