 |
|
Rings With Comparability |
Canad. Math. Bull. 42(1999), 174-183
Published:1999-06-01
Printed: Jun 1999
Printed: Jun 1999
- Miguel Ferrero
- Alveri Sant'Ana
Abstract
The class of rings studied in this paper properly contains the
class of right distributive rings which have at least one
completely prime ideal in the Jacobson radical. Amongst other
results we study prime and semiprime ideals, right noetherian rings
with comparability and prove a structure theorem for rings with
comparability. Several examples are also given.
| MSC Classifications: |
16U99 - None of the above, but in this section 16P40 - Noetherian rings and modules 16D14 - unknown classification 16D14 16N60 - Prime and semiprime rings [See also 16D60, 16U10] |