@article { author = {Amouzegar, T.}, title = {LIFTING MODULES WITH RESPECT TO A PRERADICAL}, journal = {Journal of Algebraic Systems}, volume = {2}, number = {1}, pages = {61-65}, year = {2014}, publisher = {Shahrood University of Technology}, issn = {2345-5128}, eissn = {2345-511X}, doi = {10.22044/jas.2014.302}, abstract = {Let $M$ be a right module over a ring $R$, $tau_M$ a preradical on $sigma[M]$, and $Ninsigma[M]$. In this note we show that if $N_1, N_2in sigma[M]$ are two $tau_M$-lifting modules such that $N_i$ is $N_j$-projective ($i,j=1,2$), then $N=N_1oplus N_2$ is $tau_M$-lifting. We investigate when homomorphic image of a $tau_M$-lifting module is $tau_M$-lifting.}, keywords = {preradical,hereditary,$tau_M$-lifting module}, url = {https://jas.shahroodut.ac.ir/article_302.html}, eprint = {https://jas.shahroodut.ac.ir/article_302_b20995498df3389eed9b24a2342bd647.pdf} }