FULLY STRONGLY PRIME IDEALS
Let R be a domain with the quotient field K. A strongly prime ideal in R is any prime ideal P of R such that whenever x and y are elements of K with either or A domain R is called fully strongly prime if every prime ideal of R is strongly prime. A domain R is called K-complete if for every prime P of R we have for all It is shown that a K-complete domain which is not a valuation domain is a quasi-local domain such that is a valuation overring with maximal ideal m and krull dimension
K-complete, strongly prime, valuation domain, Krull dimension.