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.
Mots-clés : S-posets, pomonoids, regular torsionless, projective, flat. 
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Roghaieh Khosravi. On regular torsionless $S$-posets. Algebra and discrete mathematics, Tome 26 (2018) no. 1, pp. 76-89. https://geodesic-test.mathdoc.fr/item/ADM_2018_26_1_a7/

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