N Sequence Prime Ideals
Keywords:Prime ascending chain of ideals, Prime with respect to, Length of an ideal, n-sequence prime ideal, n-sequence quasi prime ideal
In this paper, the concepts of -sequence prime ideal and -sequence quasi prime ideal are introduced. Some properties of such ideals are investigated. The relations between -sequence prime ideal and each of primary ideal, -prime ideal, quasi prime ideal, strongly irreducible ideal, and closed ideal, are studied. Also, the ideals of a principal ideal domain are classified into quasi prime ideals and -sequence quasi prime ideals.