t-Generalized Supplemented Modules
In the present paper, t-generalized supplemented modules are defined starting from the generalized ⨁-supplemented modules. In addition, we present examples separating the t-generalized supplemented modules, supplemented modules, and generalized ⨁-supplemented modules and also show the equality of th...
Збережено в:
| Дата: | 2015 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2015
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| Назва видання: | Український математичний журнал |
| Теми: | |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/165910 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | t-Generalized Supplemented Modules / B. Koşar, C. Nebiyev // Український математичний журнал. — 2015. — Т. 67, № 11. — С. 1491–1497. — Бібліогр.: 14 назв. — англ. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Резюме: | In the present paper, t-generalized supplemented modules are defined starting from the generalized ⨁-supplemented modules. In addition, we present examples separating the t-generalized supplemented modules, supplemented modules, and generalized ⨁-supplemented modules and also show the equality of these modules for projective and finitely generated modules. Moreover, we define cofinitely t-generalized supplemented modules and give the characterization of these modules. Furthermore, for any ring R, we show that any finite direct sum of t-generalized supplemented R-modules is t-generalized supplemented and that any direct sum of cofinitely t-generalized supplemented R-modules is a cofinitely t-generalized supplemented module. |
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