On (po-)torsion free and principally weakly (po-)flat $S$-posets
نویسندگان
1 Department of mathematics, Shaanxi University of Science and Technology, Shaanxi, P.O. Box 710021, China
2 Department of Mathematics, Fasa University, Fasa, P.O. Box 74617- 81189, Iran
doi
10.29252/cgasa.8.1.35چکیده
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.
