Some remarks on the dual notion of n-absorbing primary submodules

Abstract

Let [Formula: see text] be a positive integer. In this paper, we introduce a functional method, which gives us an equivalent condition to the concept of [Formula: see text]-absorbing primary submodules. By using this method, the dual notion of [Formula: see text]-absorbing primary submodules, which we call [Formula: see text]-secondary submodules, is presented. Then, some properties of this class of submodules, several useful examples and functorial results are presented.