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Let R be a commutative ring with unity (1=0). A proper ideal of R is an ideal I of R such that I=R. Let: I (R) (R) \\ be any function, where I (R) denotes the set of all proper ideals of R. In this paper we introduce the concept of a -2-absorbing primal ideal which is a generalization of a -primal ideal. An element a R is defined to be -2-absorbing prime to I if for any r, s, t R with rsta I (I), then rs I or rt I or st I. An element a R is not -2-absorbing prime to I if there exist r, s, t R, with rsta I (I), such that rs, rt, st R I. We denote by _ (I) the set of all elements in R that are not -2-absorbing prime to I. We define a proper ideal I of R to be a -2-absorbing primal if the set _ (I) (I) forms an ideal of R. Many results concerning -2-absorbing primal ideals and examples of -2-absorbing primal ideals are given.
Jaber et al. (Fri,) studied this question.