Abstract
The notion of maximal non-[Formula: see text]-pseudo-valuation ring is introduced which generalizes the concept of maximal non-pseudo-valuation domain. The equivalence of maximal non-[Formula: see text]-PVR and maximal non-local ring is established under some conditions. The concept of maximal non-PVR is also introduced and it is shown that a maximal non-PVR is either a [Formula: see text]-PVR or a maximal non-[Formula: see text]-PVR. Examples are also given to show that all the introduced concepts are independent of each other, in general.
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