Abstract
A positive answer to a question of Müller is given: any semi-perfect complete hereditary Noetherian prime ring R has a weakly symmetric self-duality sending every ideal I to its cycle-neighbour X. Consequently, the factor rings R/I and R/X are isomorphic without using the 1984 results of Dischinger and Müller.
| Original language | English |
|---|---|
| Pages (from-to) | 567-573 |
| Journal | Proceedings of the Edinburgh Mathematical Society |
| Volume | 49 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 1 Oct 2006 |
Keywords
- Hereditary
- Injective modules
- Localizations
- Morita duality
- Noetherian prime rings
- Quotient rings