Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4588382 | Journal of Algebra | 2007 | 7 Pages |
Abstract
Let B be a submodule of an R-module M. The intersection of all prime submodules of M containing B is denoted by rad(B). For every positive integer n, a generalization of E(B) denoted by En(B) of M will be introduced. Moreover, 〈E(B)〉⊆〈En(B)〉⊆rad(B). In this paper we will study the equality 〈En(B)〉=rad(B). It is proved that if R is an arithmetical ring of finite Krull dimension n, then 〈En(B)〉=rad(B).
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory