Geodesic
On regular torsionless $S$-posets
Algebra and discrete mathematics, Tome 26 (2018) no. 1, pp. 76-89

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This paper shall be concerned with the notion of regular torsionless in the category of $S$-posets. Besides elementary basic properties of regular torsionless $S$-posets, we consider cyclic regular torsionless $S$-posets and also study when regular torsionless property is preserved under coproducts. Then we characterize pomonoids over which all free or projective $S$-posets are regular torsionless. Finally, we present conditions on $S$ which follow if all regular torsionless $S$-posets are principally weakly po-flat, weakly po-flat, strongly flat, or projective.
Keywords: $S$-posets, pomonoids, regular torsionless, projective, flat. 
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     author = {Roghaieh Khosravi},
     title = {On regular torsionless $S$-posets},
     journal = {Algebra and discrete mathematics},
     pages = {76--89},
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     volume = {26},
     number = {1},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2018_26_1_a7/}
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Roghaieh Khosravi. On regular torsionless $S$-posets. Algebra and discrete mathematics, Tome 26 (2018) no. 1, pp. 76-89. http://geodesic.mathdoc.fr/item/ADM_2018_26_1_a7/