Feebly lifting modules
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...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Shahid Bahonar University of Kerman
2024-12-01
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| Series: | Journal of Mahani Mathematical Research |
| Subjects: | |
| Online Access: | https://jmmrc.uk.ac.ir/article_4625_cab619b78a87600443973d665f7fd21e.pdf |
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| _version_ | 1841560198303449088 |
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| author | Cihat Abdioğlu Esra Özturk Sozen |
| author_facet | Cihat Abdioğlu Esra Özturk Sozen |
| author_sort | Cihat Abdioğlu |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-8be1dd3170114efea5d00734142a246c |
| institution | Kabale University |
| issn | 2251-7952 2645-4505 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Shahid Bahonar University of Kerman |
| record_format | Article |
| series | Journal of Mahani Mathematical Research |
| spelling | doaj-art-8be1dd3170114efea5d00734142a246c2025-01-04T19:29:57ZengShahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-79522645-45052024-12-01135657310.22103/jmmr.2024.23337.16294625Feebly lifting modulesCihat Abdioğlu0Esra Özturk Sozen1Department of Mathematics and Science Education, Faculty of Education, Karamanoğlu Mehmetbey University, Karaman, TurkeyDepartment of Mathematics, Faculty of Sciences and Arts, Sinop University, Sinop, TurkeyIn 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.https://jmmrc.uk.ac.ir/article_4625_cab619b78a87600443973d665f7fd21e.pdflifting modulefully idempotent submoduleweak lifting modulefeebly lifting module |
| spellingShingle | Cihat Abdioğlu Esra Özturk Sozen Feebly lifting modules Journal of Mahani Mathematical Research lifting module fully idempotent submodule weak lifting module feebly lifting module |
| title | Feebly lifting modules |
| title_full | Feebly lifting modules |
| title_fullStr | Feebly lifting modules |
| title_full_unstemmed | Feebly lifting modules |
| title_short | Feebly lifting modules |
| title_sort | feebly lifting modules |
| topic | lifting module fully idempotent submodule weak lifting module feebly lifting module |
| url | https://jmmrc.uk.ac.ir/article_4625_cab619b78a87600443973d665f7fd21e.pdf |
| work_keys_str_mv | AT cihatabdioglu feeblyliftingmodules AT esraozturksozen feeblyliftingmodules |