@article {
author = {Keskin Tütüncü, D.},
title = {A study on the $\pi$-dual Rickart modules},
journal = {Journal of the Iranian Mathematical Society},
volume = {4},
number = {2},
pages = {235-245},
year = {2023},
publisher = {Iranian Mathematical Society},
issn = {2717-1612},
eissn = {2717-1612},
doi = {10.30504/jims.2023.396908.1114},
abstract = {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.},
keywords = {dual Baer module,$\pi$-dual Baer module,dual Rickart module,$\pi$-dual Rickart module,projection invariant submodule},
url = {https://jims.ims.ir/article_176734.html},
eprint = {https://jims.ims.ir/article_176734_8c062dd1c99f98165c4c961539c21b50.pdf}
}