The group ring of the group $(\mathbb Q, +)$ over the field $\mathbb Q$.

Keywords group ring

- K. A. Loper. Almost Dedekind domains which are not Dedekind. (2006) @ Theorem 36 (item 2) p 291

Known Properties

Legend

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

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

cardinality | $\aleph_0$ | |

Krull dimension (classical) | 1 |

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

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

Jacobson radical | $\{0\}$ |

Left singular ideal | $\{0\}$ |

Left socle | $\{0\}$ |

Nilpotents | $\{0\}$ |

Right singular ideal | $\{0\}$ |

Right socle | $\{0\}$ |

Zero divisors | $\{0\}$ |