On n-primly ideals

An ideal I is primal over a commutative ring R with non zero identity if the set of all elements that are not prime to I , forms an ideal of R . This definition was introduced by Ladislas Fuchs in 1950. In this paper, we define an ideal I over a commutative ring R with non zero identity to be n-primly if the set of all elements that are not n-primary to I , forms an ideal of R . But first we introduced the concepts of n-primary elements to an ideal, n-adjoint sets for an ideal, uniformly not n-primary sets for an ideal, n-primly ideals and uniformly n-primly ideals. We study the previous concepts in details illustrated by several examples. We also study the relation between several sets like n-adjoint sets for an ideal, n-adjoint sets for an ideal and the adjoint set for this ideal, sets that are not n-primary for an ideal and uniformly not n-primary sets for this ideal. Also we investigate the relation between some ideals like uniformly n-primly ideals and n-primly ideals, primary ideals and n-primly ideals over a commutative ring with identity