Abstract
In this paper it is shown that there is a large class of f-rings in which the sum of any two semiprime i-ideals is semiprime. This result is used to give a class of commutative f-rings with identity element in which the sum of any two z-ideals which are i-ideals is a z-ideal and the sum of any two d-ideals is a d-ideal.
| Original language | American English |
|---|---|
| Pages (from-to) | 895-901 |
| Journal | Proceedings of the American Mathematical Society |
| Volume | 109 |
| Issue number | 4 |
| State | Published - Aug 1990 |
Disciplines
- Mathematics