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Rad-supplements in injective modules

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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Main Authors: Buyukasik, Engin, Tribak, Rachid
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2016
Subjects:
Almost injective modules; $Rad$-s-injective modules; Injective modules; $Rad$-supplement submodules
16D50; 16D99; 16L30; 16L60
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/125
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spelling oai:ojs.admjournal.luguniv.edu.ua: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
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 2024-04-12T06:26:44Z
last_indexed 2024-04-12T06:26:44Z
_version_ 1796109190702301184

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