@article{Tribak_2020, title={On a class of dual Rickart modules}, volume={72}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/6021}, DOI={10.37863/umzh.v72i7.6021}, abstractNote={<p>UDC 512.5</p> <p>Let $R$ be a ring and let $\Omega_R$ be the set of maximal right ideals of $R$. An $R$-module $M$ is called an sd-Rickart module if for every nonzero endomorphism $ f$ of $M$, $\Im f$ is a fully invariant direct summand of $M$. We obtain a characterization for an arbitrary direct sum of sd-Rickart modules to be sd-Rickart. We also obtain a decomposition of an sd-Rickart $R$-module $M$, provided $R$ is a commutative noetherian ring and $Ass(M) \cap \Omega_R$ is a finite set. In addition, we introduce and study a<br>generalization of sd-Rickart modules.<br><br></p&gt;}, number={7}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Tribak, R.}, year={2020}, month={Jul.}, pages={960-970} }