@article{article_1251658, title={On tau-discrete modules}, journal={Erzincan University Journal of Science and Technology}, volume={17}, pages={37–43}, year={2024}, DOI={10.18185/erzifbed.1251658}, author={Nişancı Türkmen, Burcu and Türkmen, Ergül}, keywords={preradical, τ-lifting mdule, (quasi) τ-discrete module.}, abstract={An R-module M is said to be (quasi) τ-discrete if M is τ-lifting and has the property (D_2) (respectively, has the property (D_3)), where τ is a preradical in R-mod. It is shown that: (1) direct summands of a (quasi) τ-discrete module are (quasi) τ-discrete; (2) a projective module M is τ-discrete iff M/(τ(M)) is semisimple and τ(M) is QSL; (3) if a projective module M is Soc-lifting, then M/(Soc(M)) is Soc-discrete and Rad(M/Soc(M) ) is semisimple.}, number={1}, publisher={Erzincan Binali Yıldırım Üniversitesi}, organization={This work was presented in 3rd International Conference on Engineering and Applied Natural Sciences (ICEANS 2023) on 14-17 January in 2023 at Konya/Turkey.}