$k[[x,y]]/(x^2,xy)$ where $k$ is a countably infinite field.

Keywords power series ring quotient ring

Known Properties

Legend

- = has the property
- = does not have the property
- = information not in database

(Nothing was retrieved.)

Name | Description |
---|---|

Idempotents | $\{0,1\}$ |

Left socle | $(x)$ |

Right socle | $(x)$ |

Unique maximal ideal | $(x,y)$ |