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: | Englisch |
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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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Algebra and Discrete Mathematics| _version_ | 1856543148932595712 |
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| author | Khosravi, Roghaieh |
| author_facet | Khosravi, Roghaieh |
| author_sort | Khosravi, Roghaieh |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-10-20T08:02:25Z |
| 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. |
| first_indexed | 2026-02-08T07:57:52Z |
| format | Article |
| id | admjournalluguniveduua-article-270 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2026-02-08T07:57:52Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-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 |
| spellingShingle | \(S\)-posets pomonoids regular torsionless projective flat 06F05 20M30 Khosravi, Roghaieh On regular torsionless \(S\)-posets |
| title | 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_short | On regular torsionless \(S\)-posets |
| title_sort | on regular torsionless \(s\)-posets |
| topic | \(S\)-posets pomonoids regular torsionless projective flat 06F05 20M30 |
| topic_facet | \(S\)-posets pomonoids regular torsionless projective flat 06F05 20M30 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/270 |
| work_keys_str_mv | AT khosraviroghaieh onregulartorsionlesssposets |