$On strongly almost $m$-$\omega_1$-$p^{\omega+n}$-projective abelian $p$-groups$

On strongly almost $m$-$\omega_1$-$p^{\omega+n}$-projective abelian $p$-groups

For any non-negative integers $m$ and $n$ we define the class of \textit{strongly almost $m$-$\omega_1$-$p^{\omega+n}$-projective groups} which properly encompasses the classes of \textit{strongly $m$-$\omega_1$-$p^{\omega+n}$-projective groups} and \textit{strongly almost \(\omega_1...

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Datum:	2016
1. Verfasser:	Danchev, Peter
Format:	Artikel
Sprache:	English
Veröffentlicht:	Lugansk National Taras Shevchenko University 2016
Schlagworte:	almost $p^{\omega+n}$-projective groups almost $\omega_1$-$p^{\omega+n}$-projective groups strongly almost $\omega_1$-$p^{\omega+n}$-projective groups countable subgroups nice subgroups Ulm subgroups Ulm factors 20K10
Online Zugang:	https://admjournal.luguniv.edu.ua/index.php/adm/article/view/40
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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-40
record_format	ojs
spelling	oai:ojs.admjournal.luguniv.edu.ua:article-402016-01-12T07:40:37Z On strongly almost $m$-$\omega_1$-$p^{\omega+n}$-projective abelian $p$-groups Danchev, Peter almost $p^{\omega+n}$-projective groups, almost $\omega_1$-$p^{\omega+n}$-projective groups, strongly almost $\omega_1$-$p^{\omega+n}$-projective groups, countable subgroups, nice subgroups, Ulm subgroups, Ulm factors 20K10 For any non-negative integers $m$ and $n$ we define the class of \textit{strongly almost $m$-$\omega_1$-$p^{\omega+n}$-projective groups} which properly encompasses the classes of \textit{strongly $m$-$\omega_1$-$p^{\omega+n}$-projective groups} and \textit{strongly almost $\omega_1$-$p^{\omega+n}$-projective groups}, defined by the author in Demonstr. Math. (2014) and Hacettepe J. Math. Stat. (2015), respectively. Certain results about this new group class are proved as well as it is shown that it shares many analogous basic properties as those of the aforementioned two group classes. Lugansk National Taras Shevchenko University 2016-01-12 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/40 Algebra and Discrete Mathematics; Vol 20, No 2 (2015) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/40/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/40/9 Copyright (c) 2016 Algebra and Discrete Mathematics
institution	Algebra and Discrete Mathematics
baseUrl_str
datestamp_date	2016-01-12T07:40:37Z
collection	OJS
language	English
topic	almost $p^{\omega+n}$-projective groups almost $\omega_1$-$p^{\omega+n}$-projective groups strongly almost $\omega_1$-$p^{\omega+n}$-projective groups countable subgroups nice subgroups Ulm subgroups Ulm factors 20K10
spellingShingle	almost $p^{\omega+n}$-projective groups almost $\omega_1$-$p^{\omega+n}$-projective groups strongly almost $\omega_1$-$p^{\omega+n}$-projective groups countable subgroups nice subgroups Ulm subgroups Ulm factors 20K10 Danchev, Peter On strongly almost $m$-$\omega_1$-$p^{\omega+n}$-projective abelian $p$-groups
topic_facet	almost $p^{\omega+n}$-projective groups almost $\omega_1$-$p^{\omega+n}$-projective groups strongly almost $\omega_1$-$p^{\omega+n}$-projective groups countable subgroups nice subgroups Ulm subgroups Ulm factors 20K10
format	Article
author	Danchev, Peter
author_facet	Danchev, Peter
author_sort	Danchev, Peter
title	On strongly almost $m$-$\omega_1$-$p^{\omega+n}$-projective abelian $p$-groups
title_short	On strongly almost $m$-$\omega_1$-$p^{\omega+n}$-projective abelian $p$-groups
title_full	On strongly almost $m$-$\omega_1$-$p^{\omega+n}$-projective abelian $p$-groups
title_fullStr	On strongly almost $m$-$\omega_1$-$p^{\omega+n}$-projective abelian $p$-groups
title_full_unstemmed	On strongly almost $m$-$\omega_1$-$p^{\omega+n}$-projective abelian $p$-groups
title_sort	on strongly almost $m$-$\omega_1$-$p^{\omega+n}$-projective abelian $p$-groups
description	For any non-negative integers $m$ and $n$ we define the class of \textit{strongly almost $m$-$\omega_1$-$p^{\omega+n}$-projective groups} which properly encompasses the classes of \textit{strongly $m$-$\omega_1$-$p^{\omega+n}$-projective groups} and \textit{strongly almost $\omega_1$-$p^{\omega+n}$-projective groups}, defined by the author in Demonstr. Math. (2014) and Hacettepe J. Math. Stat. (2015), respectively. Certain results about this new group class are proved as well as it is shown that it shares many analogous basic properties as those of the aforementioned two group classes.
publisher	Lugansk National Taras Shevchenko University
publishDate	2016
url	https://admjournal.luguniv.edu.ua/index.php/adm/article/view/40
work_keys_str_mv	AT danchevpeter onstronglyalmostmomega1pomeganprojectiveabelianpgroups
first_indexed	2025-07-17T10:35:29Z
last_indexed	2025-07-17T10:35:29Z
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On strongly almost \(m\)-\(\omega_1\)-\(p^{\omega+n}\)-projective abelian \(p\)-groups

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