Title of article :
Generalized Radical Lifting Modules
Author/Authors :
khalid, wasan university of baghdad - college of science - department of mathematics, Iraq , wadi, adnan s. university of baghdad - college of science - department of mathematics, Iraq
Abstract :
In this paper we introduce G-Rad-lifting module as aproper generalization of lifting module, some properties of this type of modules are investigated. We prove that if M is G-Rad- lifting and M=M1⨁M2, then M1 , and M2 are G-Rad- lifting, hence we Conclude the direct summand of G-Rad- lifting is also G-Rad- lifting. Also we prove that if M is a duo module with M=M1⨁M2 and M1,M2 are G- Rad- lifting then M is G-Rad- lifting.
Keywords :
G , Rad , Lifting , Lifting
Journal title :
Iraqi Journal Of Science
Journal title :
Iraqi Journal Of Science
