There was a part c and d from a question I couldn't answer.(adsbygoogle = window.adsbygoogle || []).push({});

Let [tex]R = \{ a/b : a, b \in \mathbb{Z}, b \equiv 1 (\mod 2) \}[/tex].

a) was find the units, b) was show that [tex]R\setminus U(R)[/tex] is a maximal ideal. Both I was successful. But

c) is find all primes, which I believe i only found one....the rational number 2.

d) find all ideals and show that [tex]R[/tex] is a PID.

Any help would be appreciated.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Primes in set of rational numbers

**Physics Forums | Science Articles, Homework Help, Discussion**