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 study the concepts of n-absorbing delta-primary ideals and weakly n-absorbing delta-primary ideals, which are the generalizations of delta-primary ideals and weakly delta-primary ideals, respectively. We introduce the concepts of n-absorbing delta-primary ideals and weakly n-absorbing delta-primary ideals. Moreover, we give many properties of these new types of ideals and investigate the relations between these structures.