On (po-)torsion free and principally weakly (po-)flat $S$-posets
In this paper, we first consider (po-)torsion free and principally weakly (po-)flat $S$-posets, specifically we discuss when (po-)torsion freeness implies principal weak (po-)flatness. Furthermore, we give a counterexample to show that Theorem 3.22 of Shi is incorrect. Thereby we present a correct...
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Shahid Beheshti University
2018-01-01
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| Series: | Categories and General Algebraic Structures with Applications |
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| Online Access: | http://www.cgasa.ir/article_44578_81b18d36c9840fe2d5160c1baf42be5a.pdf |
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doaj-2ead047ee9104d298f33d68b12a76f0b2020-11-24T22:08:39ZengShahid Beheshti UniversityCategories and General Algebraic Structures with Applications2345-58532345-58612018-01-0181354944578On (po-)torsion free and principally weakly (po-)flat $S$-posetsRoghaieh Khosravi0Xingliang Liang1Department of Mathematics, Fasa University, Fasa, P.O. Box 74617- 81189, IranDepartment of mathematics, Shaanxi University of Science and Technology, Shaanxi, P.O. Box 710021, ChinaIn this paper, we first consider (po-)torsion free and principally weakly (po-)flat $S$-posets, specifically we discuss when (po-)torsion freeness implies principal weak (po-)flatness. Furthermore, we give a counterexample to show that Theorem 3.22 of Shi is incorrect. Thereby we present a correct version of this theorem. Finally, we characterize pomonoids over which all cyclic $S$-posets are weakly po-flat.http://www.cgasa.ir/article_44578_81b18d36c9840fe2d5160c1baf42be5a.pdfTorsion freepo-torsion freeprincipally weakly flatpomonoid$S$-poset |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Roghaieh Khosravi Xingliang Liang |
| spellingShingle |
Roghaieh Khosravi Xingliang Liang On (po-)torsion free and principally weakly (po-)flat $S$-posets Categories and General Algebraic Structures with Applications Torsion free po-torsion free principally weakly flat pomonoid $S$-poset |
| author_facet |
Roghaieh Khosravi Xingliang Liang |
| author_sort |
Roghaieh Khosravi |
| title |
On (po-)torsion free and principally weakly (po-)flat $S$-posets |
| title_short |
On (po-)torsion free and principally weakly (po-)flat $S$-posets |
| title_full |
On (po-)torsion free and principally weakly (po-)flat $S$-posets |
| title_fullStr |
On (po-)torsion free and principally weakly (po-)flat $S$-posets |
| title_full_unstemmed |
On (po-)torsion free and principally weakly (po-)flat $S$-posets |
| title_sort |
on (po-)torsion free and principally weakly (po-)flat $s$-posets |
| publisher |
Shahid Beheshti University |
| series |
Categories and General Algebraic Structures with Applications |
| issn |
2345-5853 2345-5861 |
| publishDate |
2018-01-01 |
| description |
In this paper, we first consider (po-)torsion free and principally weakly (po-)flat $S$-posets, specifically we discuss when (po-)torsion freeness implies principal weak (po-)flatness. Furthermore, we give a counterexample to show that Theorem 3.22 of Shi is incorrect. Thereby we present a correct version of this theorem. Finally, we characterize pomonoids over which all cyclic $S$-posets are weakly po-flat. |
| topic |
Torsion free po-torsion free principally weakly flat pomonoid $S$-poset |
| url |
http://www.cgasa.ir/article_44578_81b18d36c9840fe2d5160c1baf42be5a.pdf |
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AT roghaiehkhosravi onpotorsionfreeandprincipallyweaklypoflatsposets AT xingliangliang onpotorsionfreeandprincipallyweaklypoflatsposets |
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