Radg-lifting modules

Abstract

In this article we present a different class lifting modules as a proper g-lifting generalization. This class termed by Radg-lifting in this work which defined as,  W is called Radg-lifting if  Y ≤ W with Radg(W) ⊆ Y, there is W = A ⊕ B with  A ≤ Y and Y ∩ B <<g B. Thus, a ring R named Radg-lifting if R is a Radg-lifting as R-module. We determined it is structure. Several of characterizations, properties, and instances of these modules are described.