On regular torsionless \(S\)-posets
This paper shall be concerned with the notion of regular torsionless in the category of \(S\)-posets. Besides elementary basic properties of regular torsionless \(S\)-posets, we consider cyclic regular torsionless \(S\)-posets and also study when regular torsionless property is preserved under copr...
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| Datum: | 2018 |
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| Format: | Artikel |
| Sprache: | English |
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Lugansk National Taras Shevchenko University
2018
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| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/270 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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oai:ojs.admjournal.luguniv.edu.ua:article-2702018-10-20T08:02:25Z On regular torsionless \(S\)-posets Khosravi, Roghaieh \(S\)-posets, pomonoids, regular torsionless, projective, flat 06F05; 20M30 This paper shall be concerned with the notion of regular torsionless in the category of \(S\)-posets. Besides elementary basic properties of regular torsionless \(S\)-posets, we consider cyclic regular torsionless \(S\)-posets and also study when regular torsionless property is preserved under coproducts. Then we characterize pomonoids over which all free or projective \(S\)-posets are regular torsionless. Finally, we present conditions on \(S\) which follow if all regular torsionless \(S\)-posets are principally weakly po-flat, weakly po-flat, strongly flat, or projective. Lugansk National Taras Shevchenko University 2018-10-20 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/270 Algebra and Discrete Mathematics; Vol 26, No 1 (2018) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/270/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/270/225 Copyright (c) 2018 Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics |
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| datestamp_date |
2018-10-20T08:02:25Z |
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OJS |
| language |
English |
| topic |
\(S\)-posets pomonoids regular torsionless projective flat 06F05 20M30 |
| spellingShingle |
\(S\)-posets pomonoids regular torsionless projective flat 06F05 20M30 Khosravi, Roghaieh On regular torsionless \(S\)-posets |
| topic_facet |
\(S\)-posets pomonoids regular torsionless projective flat 06F05 20M30 |
| format |
Article |
| author |
Khosravi, Roghaieh |
| author_facet |
Khosravi, Roghaieh |
| author_sort |
Khosravi, Roghaieh |
| title |
On regular torsionless \(S\)-posets |
| title_short |
On regular torsionless \(S\)-posets |
| title_full |
On regular torsionless \(S\)-posets |
| title_fullStr |
On regular torsionless \(S\)-posets |
| title_full_unstemmed |
On regular torsionless \(S\)-posets |
| title_sort |
on regular torsionless \(s\)-posets |
| description |
This paper shall be concerned with the notion of regular torsionless in the category of \(S\)-posets. Besides elementary basic properties of regular torsionless \(S\)-posets, we consider cyclic regular torsionless \(S\)-posets and also study when regular torsionless property is preserved under coproducts. Then we characterize pomonoids over which all free or projective \(S\)-posets are regular torsionless. Finally, we present conditions on \(S\) which follow if all regular torsionless \(S\)-posets are principally weakly po-flat, weakly po-flat, strongly flat, or projective. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/270 |
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AT khosraviroghaieh onregulartorsionlesssposets |
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2025-07-17T10:31:13Z |
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2025-07-17T10:31:13Z |
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