@article {
author = {Amouzegar, T.},
title = {On two generalizations of semi-projective modules: SGQ-projective and $pi$-semi-projective},
journal = {Journal of Algebra and Related Topics},
volume = {4},
number = {2},
pages = {19-29},
year = {2016},
publisher = {University of Guilan},
issn = {2345-3931},
eissn = {2382-9877},
doi = {},
abstract = {Let $R$ be a ring and $M$ a right $R$-module with $S=End_R(M)$. A module $M$ is called semi-projective if for any epimorphism $f:M\rightarrow N$, where $N$ is a submodule of $M$, and for any homomorphism $g: M\rightarrow N$, there exists $h:M\rightarrow M$ such that $fh=g$. In this paper, we study SGQ-projective and $\pi$-semi-projective modules as two generalizations of semi-projective modules. A module $M$ is called an SGQ-projective module if forÂ any $\phi\in S$, there exists a right ideal $X_\phi$ of $S$ such that $D_S(\Im \phi)=\phi S\oplus X_\phi$ as right $S$-modules. We call $M$ a $\pi$-semi-projective module if for any $0\neq s\in S$, there exists a positive integer $n$ such that $s^n\neq 0$ and any $R$-homomorphism from $M$ to $s^nM$ can be extended to an endomorphism of $M$. Some properties of this class of modules are investigated.},
keywords = {Semi-projective module,SGQ-projective module,$pi$-Semi-projective,Coretractable module,Endomorphism ring},
url = {https://jart.guilan.ac.ir/article_1999.html},
eprint = {https://jart.guilan.ac.ir/article_1999_2bbc92f04935d418d9d7455095e55e83.pdf}
}