On (po-)torsion free and principally weakly (po-)flat $S$-posets | ||
| Categories and General Algebraic Structures with Applications | ||
| مقاله 5، دوره 8، شماره 1، فروردین 2018، صفحه 35-49 اصل مقاله (567.88 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.29252/cgasa.8.1.35 | ||
| نویسندگان | ||
| Roghaieh Khosravi* 1؛ Xingliang Liang2 | ||
| 1Department of Mathematics, Fasa University, Fasa, P.O. Box 74617- 81189, Iran | ||
| 2Department of mathematics, Shaanxi University of Science and Technology, Shaanxi, P.O. Box 710021, China | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Torsion free؛ po-torsion free؛ principally weakly flat؛ pomonoid؛ $S$-poset | ||
| مراجع | ||
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