Description: Enumerate the primes in $\mathbb N$. Let $M$ be the additive submonoid of positive rationals generated by $\frac{1}{2^ip_i}$ $i \geq 0$. With field $F$ and indeterminate $X$, and generate $F$ algebra generated by $X^m$, $m\in M$. Localize at the set of elements with nonzero constant term. This localization is the ring.

Krull dimension: (unknown)

Keywords semigroup ring

Reference(s):

- A. Grams. Atomic rings and the ascending chain condition for principal ideals. (1974) @ Main example

Known Properties