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 |
|---|---|
| Original language | English |
| Pages (from-to) | 239 - 252 |
| Number of pages | 14 |
| Journal | Algebra Colloquium |
| Volume | 13 (2) |
| DOIs | |
| Publication status | Published - Jun 2006 |