# Tag Archives: maximal ideals

## G-Ideals, Maximal Ideals, and The Nullstellensatz

Let $R$ be an integral domain and $K$ is fraction field. If $K$ is finitely generated over $R$ then we say that $R$ is a $G$-domain, named after Oscar Goldman. This innocuous-looking definition is actually an extremely useful device in commutative algebra that pops up all over the place. […]