Description: Quotient ring of the integers (1) by an ideal $(n)$ where $n$ is a squarefree number divisible by two primes.

Keywords quotient ring

Reference(s):

Known Properties

Legend

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

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

cardinality | $n$ | |

composition length | left: $\Omega(n)$ | right: $\Omega(n)$ |

global dimension | left: 0 | right: 0 |

Krull dimension (classical) | 0 | |

weak global dimension | 0 |

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

Jacobson radical | $\{0\}$ |

Nilpotents | $\{0\}$ |

Units | The cosets corresponding to integers coprime with $n$. |

Zero divisors | Cosets corresponding to integers which are not coprime with $n$ |