On uniformly pr-ideals in commutative rings

Abstract

Let R be a commutative ring with nonzero identity and I a proper ideal of R: Then I is called a uniformlypr -ideal if there exists $Ninmathbb{N}$ such that $abin I$ with ann(a) = 0 then $b^Nin I$ We say that the smallest $Ninmathbb{N}$ is calledorder of I and denoted by $ord_Rleft(1right)=N$ In this paper, we give some examples and characterizations of this new classof ideals.