Title of article :
projective modules relative to a semiradical property
Author/Authors :
Al–Dhahari ، Entisar Department of Mathematics - College of Science - University of Baghdad , Al–Bahrani ، Bahar Department of Mathematics - College of Science - University of Baghdad
Abstract :
In this paper, we introduce a generalization of the projective modules. We show that for a module $M=M_1 \bigoplus M_2$. If $M_2$ is s.p-$M_1$-projective, then for every s.p-closed submodule $A$ of $M$ with $M=M_1+A$, there exists a submodule $K$ of $A$ such that $M=M_1 \bigoplus K$.
Keywords :
s.p , closed submodules , projective module , s.p , projective module
Journal title :
International Journal of Nonlinear Analysis and Applications
Journal title :
International Journal of Nonlinear Analysis and Applications
