$$\tau$-complemented and $\tau$-supplemented modules$

$\tau$-complemented and $\tau$-supplemented modules

Proper classes of monomorphisms and short exact sequences were introduced by Buchsbaum to study relative homological algebra. It was observed in abelian group theory that complement submodules induce a proper class of monomorphisms and this observations were extended to modules by Stenstr¨om, Genera...

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Datum:	2018
Hauptverfasser:	Al-Takhman, Khaled, Lomp, Christian, Wisbauer, Robert
Format:	Artikel
Sprache:	English
Veröffentlicht:	Lugansk National Taras Shevchenko University 2018
Schlagworte:	proper classes neat and coneat submodules $\tau$-supplemented,$\tau$-complemented and $\tau$-semiperfect modules 16D90 16E50 16.E99
Online Zugang:	https://admjournal.luguniv.edu.ua/index.php/adm/article/view/893
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Назва журналу:	Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics

id	oai:ojs.admjournal.luguniv.edu.ua:article-893
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spelling	oai:ojs.admjournal.luguniv.edu.ua:article-8932018-03-21T07:07:28Z $\tau$-complemented and $\tau$-supplemented modules Al-Takhman, Khaled Lomp, Christian Wisbauer, Robert proper classes; neat and coneat submodules; $\tau$-supplemented,$\tau$-complemented and $\tau$-semiperfect modules 16D90, 16E50, 16.E99 Proper classes of monomorphisms and short exact sequences were introduced by Buchsbaum to study relative homological algebra. It was observed in abelian group theory that complement submodules induce a proper class of monomorphisms and this observations were extended to modules by Stenstr¨om, Generalov, and others. In this note we consider complements and supplements with respect to (idempotent) radicals and study the related proper classes of short exact sequences. Lugansk National Taras Shevchenko University 2018-03-21 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/893 Algebra and Discrete Mathematics; Vol 5, No 3 (2006) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/893/422 Copyright (c) 2018 Algebra and Discrete Mathematics
institution	Algebra and Discrete Mathematics
baseUrl_str
datestamp_date	2018-03-21T07:07:28Z
collection	OJS
language	English
topic	proper classes neat and coneat submodules $\tau$-supplemented,$\tau$-complemented and $\tau$-semiperfect modules 16D90 16E50 16.E99
spellingShingle	proper classes neat and coneat submodules $\tau$-supplemented,$\tau$-complemented and $\tau$-semiperfect modules 16D90 16E50 16.E99 Al-Takhman, Khaled Lomp, Christian Wisbauer, Robert $\tau$-complemented and $\tau$-supplemented modules
topic_facet	proper classes neat and coneat submodules $\tau$-supplemented,$\tau$-complemented and $\tau$-semiperfect modules 16D90 16E50 16.E99
format	Article
author	Al-Takhman, Khaled Lomp, Christian Wisbauer, Robert
author_facet	Al-Takhman, Khaled Lomp, Christian Wisbauer, Robert
author_sort	Al-Takhman, Khaled
title	$\tau$-complemented and $\tau$-supplemented modules
title_short	$\tau$-complemented and $\tau$-supplemented modules
title_full	$\tau$-complemented and $\tau$-supplemented modules
title_fullStr	$\tau$-complemented and $\tau$-supplemented modules
title_full_unstemmed	$\tau$-complemented and $\tau$-supplemented modules
title_sort	$\tau$-complemented and $\tau$-supplemented modules
description	Proper classes of monomorphisms and short exact sequences were introduced by Buchsbaum to study relative homological algebra. It was observed in abelian group theory that complement submodules induce a proper class of monomorphisms and this observations were extended to modules by Stenstr¨om, Generalov, and others. In this note we consider complements and supplements with respect to (idempotent) radicals and study the related proper classes of short exact sequences.
publisher	Lugansk National Taras Shevchenko University
publishDate	2018
url	https://admjournal.luguniv.edu.ua/index.php/adm/article/view/893
work_keys_str_mv	AT altakhmankhaled taucomplementedandtausupplementedmodules AT lompchristian taucomplementedandtausupplementedmodules AT wisbauerrobert taucomplementedandtausupplementedmodules
first_indexed	2025-07-17T10:34:49Z
last_indexed	2025-07-17T10:34:49Z
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\(\tau\)-complemented and \(\tau\)-supplemented modules

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