@article{article_1461857, title={Rings Whose Certain Modules are Dual Self-CS-Baer}, journal={Mathematical Sciences and Applications E-Notes}, volume={12}, pages={113–118}, year={2024}, DOI={10.36753/mathenot.1461857}, author={Eroğlu, Nuray}, keywords={Dual self-CS-Baer module, Harada ring, Lifting module, Perfect ring, QF-ring, Serial ring}, abstract={In this work, we characterize some rings in terms of dual self-CS-Baer modules (briefly, ds-CS-Baer modules). We prove that any ring $R$ is a left and right artinian serial ring with $J^2(R)=0$ iff $R\oplus M$ is ds-CS-Baer for every right $R$-module $M$. If $R$ is a commutative ring, then we prove that $R$ is an artinian serial ring iff $R$ is perfect and every $R$-module is a direct sum of ds-CS-Baer $R$-modules. Also, we show that $R$ is a right perfect ring iff all countably generated free right $R$-modules are ds-CS-Baer.}, number={3}, publisher={Murat TOSUN} }