Rad-supplements in injective modules
We introduce and study the notion of $Rad$-s-injective modules (i.e. modules which are $Rad$-supplements in their injective hulls). We compare this notion with another generalization of injective modules. We show that the class of $Rad$-s-injective modules is closed under finite direct sums. We char...
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| Datum: | 2016 |
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| Format: | Artikel |
| Sprache: | English |
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Lugansk National Taras Shevchenko University
2016
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| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/125 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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admjournalluguniveduua-article-1252016-12-30T22:42:45Z Rad-supplements in injective modules Buyukasik, Engin Tribak, Rachid Almost injective modules; $Rad$-s-injective modules; Injective modules; $Rad$-supplement submodules 16D50; 16D99; 16L30; 16L60 We introduce and study the notion of $Rad$-s-injective modules (i.e. modules which are $Rad$-supplements in their injective hulls). We compare this notion with another generalization of injective modules. We show that the class of $Rad$-s-injective modules is closed under finite direct sums. We characterize $Rad$-s-injective modules over several type of rings, including semilocal rings, left hereditary rings and left Harada rings. Lugansk National Taras Shevchenko University 2016-12-31 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/125 Algebra and Discrete Mathematics; Vol 22, No 2 (2016) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/125/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/125/137 Copyright (c) 2016 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| baseUrl_str |
|
| datestamp_date |
2016-12-30T22:42:45Z |
| collection |
OJS |
| language |
English |
| topic |
Almost injective modules $Rad$-s-injective modules Injective modules $Rad$-supplement submodules 16D50 16D99 16L30 16L60 |
| spellingShingle |
Almost injective modules $Rad$-s-injective modules Injective modules $Rad$-supplement submodules 16D50 16D99 16L30 16L60 Buyukasik, Engin Tribak, Rachid Rad-supplements in injective modules |
| topic_facet |
Almost injective modules $Rad$-s-injective modules Injective modules $Rad$-supplement submodules 16D50 16D99 16L30 16L60 |
| format |
Article |
| author |
Buyukasik, Engin Tribak, Rachid |
| author_facet |
Buyukasik, Engin Tribak, Rachid |
| author_sort |
Buyukasik, Engin |
| title |
Rad-supplements in injective modules |
| title_short |
Rad-supplements in injective modules |
| title_full |
Rad-supplements in injective modules |
| title_fullStr |
Rad-supplements in injective modules |
| title_full_unstemmed |
Rad-supplements in injective modules |
| title_sort |
rad-supplements in injective modules |
| description |
We introduce and study the notion of $Rad$-s-injective modules (i.e. modules
which are $Rad$-supplements in their injective hulls). We compare this notion
with another generalization of injective modules. We show that the class of
$Rad$-s-injective modules is closed under finite direct sums. We characterize
$Rad$-s-injective modules over several type of rings, including semilocal rings,
left hereditary rings and left Harada rings. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2016 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/125 |
| work_keys_str_mv |
AT buyukasikengin radsupplementsininjectivemodules AT tribakrachid radsupplementsininjectivemodules |
| first_indexed |
2025-12-02T15:45:38Z |
| last_indexed |
2025-12-02T15:45:38Z |
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1850411936743686144 |