On (po-)torsion free and principally weakly (po-)flat $S$-posets
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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.
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Journal title
volume 8 issue 1
pages 35- 49
publication date 2018-01-01
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