A A Principally Radg-Lifting Modules

Abstract

In this article we present a new class of modules which is named as a principally -lifting modules. This class termed by Principally -lifting in this work which defined as, a module is called Principally -lifting if for every cyclic submodule of with , there is a decomposition such that and is g-small in . Thus, a ring is called Principally -lifting if it is a principally -lifting as -module. We determined it is structure. Several characterizations, properties, and instances are described of these modules'.

Keywords

• Pricipally semi simple,
• Principally 〖Rad〗_g-lifting
• , principally g-lifting
• principally generalized hollow