*This ring suggested by: jose.simental*

Description: $k\langle x,y\rangle /(xy - yx - 1)$ where $k$ is a countably infinite field of characteristic $0$.

Keywords free algebra quotient ring

Reference(s):

Symmetric properties

Asymmetric properties

Legend

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

Name | Measure | |
---|---|---|

cardinality | $\aleph_0$ | |

composition length | left: $\infty$ | right: $\infty$ |

global dimension | left: 1 | right: 1 |

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

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

Jacobson radical | $\{0\}$ |

Nilpotents | $\{0\}$ |

Zero divisors | $\{0\}$ |