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 coproducts. Then...
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| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2018 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2018
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/188375 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | On regular torsionless S-posets / R. Khosravi // Algebra and Discrete Mathematics. — 2018. — Vol. 26, № 1. — С. 76–89. — Бібліогр.: 11 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862722907637022720 |
|---|---|
| author | Khosravi, R. |
| author_facet | Khosravi, R. |
| citation_txt | On regular torsionless S-posets / R. Khosravi // Algebra and Discrete Mathematics. — 2018. — Vol. 26, № 1. — С. 76–89. — Бібліогр.: 11 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
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| first_indexed | 2025-12-07T18:38:45Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-188375 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T18:38:45Z |
| publishDate | 2018 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Khosravi, R. 2023-02-26T12:24:48Z 2023-02-26T12:24:48Z 2018 On regular torsionless S-posets / R. Khosravi // Algebra and Discrete Mathematics. — 2018. — Vol. 26, № 1. — С. 76–89. — Бібліогр.: 11 назв. — англ. 1726-3255 2010 MSC: Primary 06F05; Secondary 20M30. https://nasplib.isofts.kiev.ua/handle/123456789/188375 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. The author wish to express their appreciation to the anonymous referees for their constructive comments improving the paper. She would also like to acknowledge Professor V. Lyubashenko for providing the communications. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On regular torsionless S-posets Article published earlier |
| spellingShingle | On regular torsionless S-posets Khosravi, R. |
| 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/188375 |
| work_keys_str_mv | AT khosravir onregulartorsionlesssposets |