projective modules relative to a semiradical property

نویسندگان
Al–Bahrani, Bahar ID 1
Al–Dhahari, Entisar ID 2

1 Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq

2 Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq

doi
10.22075/ijnaa.2023.29948.4299
چکیده

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 $M=M_1 \bigoplus K$.

کلیدواژه‌ها
s.p- closed submodules, projective module, s.p- projective module