## Abstract

We study a certain type of prime Noetherian idealiser ring

*R*of injective dimension 1, and prove for instance that the idempotent ideals of*R*are projective and that every non-zero projective ideal of*R*is uniquely of the form*U E*for some invertible ideal*U*and idempotent ideal*E*of*R*. Formulae are given for the number of idempotent ideals of*R*and the number of orders which contain*R*.Translated title of the contribution | Idealiser rings of injective dimension one |
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Original language | English |

Pages (from-to) | 239 - 252 |

Number of pages | 14 |

Journal | Algebra Colloquium |

Volume | 13 (2) |

DOIs | |

Publication status | Published - Jun 2006 |