See https://stacks.math.columbia.edu/tag/02JE, or https://stacks.math.columbia.edu/download/examples.pdf#nameddest=02JE. We use $\mathbb Q$ as the field for the construction. Matsumura describes it as a subring of a localization of a subring of $\mathbb Q[[X]]$.
Keywords localization power series ring subring
| Name | Measure | |
|---|---|---|
| Krull dimension (classical) | 2 |
| Name | Description |
|---|---|
| Idempotents | $\{0,1\}$ |
| Left singular ideal | $\{0\}$ |
| Left socle | $\{0\}$ |
| Nilpotents | $\{0\}$ |
| Right singular ideal | $\{0\}$ |
| Right socle | $\{0\}$ |
| Zero divisors | $\{0\}$ |