Geodesic
Axiomatizability of free $S$-posets
Fundamentalʹnaâ i prikladnaâ matematika, Tome 15 (2009) no. 1, pp. 99-115

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In this work, we investigate the partially ordered monoids $S$ over which the class of free (over a poset) $S$-posets is axiomatizable. Similar questions for $S$-sets were considered in papers of V. Gould, S. Bulman-Fleming, and A. A. Stepanova. 
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     author = {M. A. Pervukhin and A. A. Stepanova},
     title = {Axiomatizability of free $S$-posets},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
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     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2009_15_1_a6/}
}
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M. A. Pervukhin; A. A. Stepanova. Axiomatizability of free $S$-posets. Fundamentalʹnaâ i prikladnaâ matematika, Tome 15 (2009) no. 1, pp. 99-115. http://geodesic.mathdoc.fr/item/FPM_2009_15_1_a6/