| Authors | رضا جهانی نژاد,فروزان خوشایند |
|---|---|
| Journal | Bulletin of the Iranian Mathematical Society |
| Page number | 815 |
| Volume number | 41 |
| Paper Type | Full Paper |
| Published At | 2015-08-11 |
| Journal Grade | Scientific - research |
| Journal Type | Electronic |
| Journal Country | Iran, Islamic Republic Of |
| Journal Index | ISI ,ISC ,SID |
Abstract
The aim of this paper is to generalize the notion of pseudo- almost valuation domains to arbitrary commutative rings. It is shown that the classes of chained rings and pseudo-valuation rings are properly contained in the class of pseudo-almost valuation rings; also the class of pseudo-almost valuation rings is properly contained in the class of quasi- local rings with linearly ordered prime ideals.
tags: Strongly prime ideal; Pseudo-almost valuation domain; Pseudo-valuation ring.