projective modules relative to a semiradical property

Document Type : Research Paper


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



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 $M=M_1 \bigoplus K$.


Articles in Press, Corrected Proof
Available Online from 01 March 2023
  • Receive Date: 16 November 2022
  • Revise Date: 19 February 2023
  • Accept Date: 02 March 2023
  • First Publish Date: 02 March 2023