Geodesic
About regular S-posets
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 9 (2009) no. 4, pp. 70-75

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The concept of regular S-poset is generalization of the concept of regular S-set. The description of monoids S with axiomatizable, complete and model complete classes of regular S-posets were considered in the papers of E. V. Ovchinnikova and A. A. Stepanova. The similar questions for partially ordered monoids and S-posets were investigated in this work. The main result of the work is a description of partially ordered monoids S with axiomatizable class of regular S-posets. Besides we prowed that there does not exist S-posets with complete or model complete classes of regular S-poset.
Keywords: pomonoids, S-poset, regular S-poset, theory, axiomatisability, completeness and model completeness. 
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     author = {M. A. Pervukhin},
     title = {About regular {S-posets}},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
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     publisher = {mathdoc},
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     number = {4},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VNGU_2009_9_4_a7/}
}
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M. A. Pervukhin. About regular S-posets. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 9 (2009) no. 4, pp. 70-75. http://geodesic.mathdoc.fr/item/VNGU_2009_9_4_a7/