فهرست نشریات علمی دسترسی آزاد ایران

The right $R$-module $M$ is said to be a $\pi$-dual Rickart module‎, ‎if for every endomorphism $f:M\to M$ with projection invariant image‎, ‎$f(M)$‎, ‎in $M$‎, ‎$f(M)$ is a direct summand of $M$. We show that the class of the $\pi$-dual Rickart modules contains properly the class of all $\pi$-dual Baer modules and the dual Rickart modules‎. ‎We also investigate the transfering between a base ring $R$ and $R[x]$ (and $R[[x]]$)‎. ‎It is shown that, in general‎, ‎the class of $\pi$-dual Rickart modules is neither closed under direct summands nor closed under direct sums‎. ‎We conclude the paper by giving a connection between the classes of $\pi$-dual Baer and $\pi$-lifting modules‎.