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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| Date: | 2018 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2018
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| Subjects: | |
| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/270 |
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| Journal Title: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| Summary: | 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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