| Issue |
BIO Web Conf.
Volume 97, 2024
Fifth International Scientific Conference of Alkafeel University (ISCKU 2024)
|
|
|---|---|---|
| Article Number | 00165 | |
| Number of page(s) | 11 | |
| DOI | https://doi.org/10.1051/bioconf/20249700165 | |
| Published online | 05 April 2024 | |
tg-Radical Supplemented Modules
Department of Mathematics, College of Education for Pure Sciences, University of Thi-Qar, Thi-Qar, Iraq
* Corresponding Author: ahmedha_math@utq.edu.iq
In this work, we define tg-radical supplemented modules and cofinitely tg-radical supplemented modules. We investigate some properties of these modules. In addition, we present examples separating the tg-radical supplemented modules, g-supplemented modules, and ⊕-g-Rad-supplemented modules and also show the equality of these modules for projective and finitely generated modules. We give a characterization of cofinitely tg-radical supplemented modules. Furthermore, for any ring R, we show that any finite direct sum of tg-radical supplemented R-modules is tg-radical supplemented and that any direct sum of cofinitely tg-radical supplemented R-modules is a cofinitely tg-radical supplemented module.
© The Authors, published by EDP Sciences, 2024
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