LIFTING MODULES WITH RESPECT TO A PRERADICAL

author

  • Tayyebeh Amouzegar Department of Mathematics, Quchan Institute of Engineering and Technology, Quchan, Iran
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 $N=N_1oplusN_2$ is $tau_M$-lifting. We investigate when homomorphic image of a $tau_M$-lifting moduleis $tau_M$-lifting.

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Journal title

volume 2  issue 1

pages  61- 65

publication date 2014-09-01

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