LIFTING MODULES WITH RESPECT TO A PRERADICAL
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...
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Format: | Article |
Language: | English |
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Shahrood University of Technology
2014-09-01
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Series: | Journal of Algebraic Systems |
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Online Access: | http://jas.shahroodut.ac.ir/article_302_b20995498df3389eed9b24a2342bd647.pdf |