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.
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.
Primary Language | English |
---|---|
Subjects | Engineering |
Journal Section | Makaleler |
Authors | |
Early Pub Date | March 27, 2024 |
Publication Date | March 28, 2024 |
Published in Issue | Year 2024 Volume: 17 Issue: 1 |