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On weak* Rad-+-supplemented modules |
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| รหัสดีโอไอ | |
| Creator | Manoj K. Patel |
| Title | On weak* Rad-+-supplemented modules |
| Contributor | Suresh K. Choubey, Varun Kumar |
| Publisher | Maejo University |
| Publication Year | 2560 |
| Journal Title | Maejo International Journal of Science and Technology |
| Journal Vol. | 11 |
| Journal No. | 3 |
| Page no. | 264 |
| Keyword | Rad-supplemented module, Rad-+-supplemented module, weak* Rad-+-supplemented module, completely weak* Rad-+-supplemented module |
| Website title | Maejo International Journal of Science and Technology |
| ISSN | 1905-7873 |
| Abstract | We introduce and give various properties of weak* Rad-+-supplemented modules, which is the generalisation of +-supplemented and Rad-+-supplemented modules for which we provide counter examples. We also prove that for a finitely generated semi-simple module these three concepts or modules are equivalent. In general, factor modules and direct summands of weak* Rad-+-supplemented modules are not weak* Rad-+-supplemented modules. Thus, we provide several sufficient conditions for the class of weak* Rad-+-supplemented modules to be closed under factor modules and direct summands. |
