Let $T=K[Z, \{\frac{X}{Z^n},\frac{Y}{Z^n}\mid n\geq 0\}]$, and let $R=\mathcal A^\infty(T)$ be the atomic closure of $T$ described in Roitman, Moshe. "Polynomial extensions of atomic domains." Journal of pure and applied algebra 87.2 (1993): 187-199.
Keywords polynomial ring
(Nothing was retrieved.)
| Name | Description |
|---|---|
| Idempotents | $\{0,1\}$ |
| Left singular ideal | $\{0\}$ |
| Left socle | $\{0\}$ |
| Nilpotents | $\{0\}$ |
| Right singular ideal | $\{0\}$ |
| Right socle | $\{0\}$ |
| Zero divisors | $\{0\}$ |