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On (po-)torsion free and principally weakly (po-)flat S-posets

Publish Year: 1397
Type: Journal paper
Language: English
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JR_CGASAT-8-1_004

Index date: 14 September 2021

On (po-)torsion free and principally weakly (po-)flat S-posets abstract

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.

On (po-)torsion free and principally weakly (po-)flat S-posets Keywords:

On (po-)torsion free and principally weakly (po-)flat S-posets authors

Roghaieh Khosravi

Department of Mathematics, Fasa University, Fasa, P.O. Box ۷۴۶۱۷- ۸۱۱۸۹, Iran

Xingliang Liang

Department of mathematics, Shaanxi University of Science and Technology, Shaanxi, P.O. Box ۷۱۰۰۲۱, China

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