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Feebly lifting modules | ||
| Journal of Mahani Mathematical Research | ||
| دوره 13، شماره 5 - شماره پیاپی 30، اسفند 2024، صفحه 65-73 اصل مقاله (496.9 K) | ||
| نوع مقاله: Special Issue: First Joint IIIMT-Algebra Forum Conference 2023 | ||
| شناسه دیجیتال (DOI): 10.22103/jmmr.2024.23337.1629 | ||
| نویسندگان | ||
| Cihat Abdioğlu1؛ Esra Özturk Sozen* 2 | ||
| 1Department of Mathematics and Science Education, Faculty of Education, Karamanoğlu Mehmetbey University, Karaman, Turkey | ||
| 2Department of Mathematics, Faculty of Sciences and Arts, Sinop University, Sinop, Turkey | ||
| چکیده | ||
| In this article feebly lifting modules are defined. A module $W$ is called feebly lifting provided, for each fully idempotent $N\leq W$ there exists a direct summand $D\leq W$ providing $D\leq N$ and $\frac{N}{D}\ll \frac{W}{D}$. The basic properties and ring characterizations of these modules are investigated. | ||
| کلیدواژه‌ها | ||
| Lifting module؛ Fully idempotent submodule؛ Weak lifting module؛ Feebly lifting module | ||
| مراجع | ||
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