# Marot ring

A Marot ring is any commutative ring with non-zero unity, where every regular ideal may be generated by regular elements^{}.

Note. ${\mathbb{Z}}_{m}$ is trivially a Marot ring (see the entry “regular ideal (http://planetmath.org/RegularIdeal)”); an integral domain^{} is another example because it has no zero divisors.

Title | Marot ring |
---|---|

Canonical name | MarotRing |

Date of creation | 2013-03-22 15:43:03 |

Last modified on | 2013-03-22 15:43:03 |

Owner | PrimeFan (13766) |

Last modified by | PrimeFan (13766) |

Numerical id | 8 |

Author | PrimeFan (13766) |

Entry type | Definition |

Classification | msc 13A99 |