  The notion of maximal non valuative domain is introduced and characterized.
An integral domain R is called a maximal non valuative domain if R is not a
valuative domain but every proper overring of R is a valuative domain. Maximal
non valuative domains have at most four maximal ideals. Various properties of
maximal non valuative domains are discussed. Conditions are given under which
pseudo-valuation domains and maximal non pseudo-valuation domains are maximal
non valuative domains.
