PSEUDO-ALMOST VALUATION RINGS

چکیده مقاله

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.