On n-absorbing ? -primary ideals

Abstract

Let R be a commutative ring with nonzero identity and n be a positive integer. In this paper, we studythe concepts of n-absorbing ? -primary ideals and weakly n-absorbing ? -primary ideals, which are the generalizationsof ? -primary ideals and weakly ? -primary ideals, respectively. We introduce the concepts of n-absorbing ? -primaryideals and weakly n-absorbing ? -primary ideals. Moreover, we give many properties of these new types of ideals andinvestigate the relations between these structures.