# Units Groups and the Infinitude of Primes (Part II)

This post serves as a follow-up article to “Units Groups and the Infinitude of Primes”, and looks at generalizations of those results to a wide class of commutative rings.

This post concerns generalizations of Euclid’s proof of the infinitude of primes to number fields, where it can be viewed as a relationship between the size of the units group and the number of prime ideals in a ring.