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.
|Journal||Proceedings of the Edinburgh Mathematical Society|
|Publication status||Published - 1 Oct 2006|
- Injective modules
- Morita duality
- Noetherian prime rings
- Quotient rings