On S-n-absorbing ideals

초록

Let R be a commutative ring with identity, S a multiplicative subset of R and I an ideal of R disjoint from S. In this paper, we introduce the notion of an S-n-absorbing ideal which is a generalization of both the S-prime ideals and the n-absorbing ideals. Moreover, we investigate the basic properties, quotient extension, existence and amalgamation of S-n-absorbing ideals.

키워드