Geodesic
Retract extensions of ordered sets
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 12, Tome 321 (2005), pp. 205-212

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Ideal extensions of ordered semigroups have been considered by Kehayopulu and Tsingelis in [9]. Ideal extensions of ordered sets have been considered by Kehayopulu in [10]. Equivalent extensions of ordered sets have been considered by Kehayopulu and Shum in [11]. In the present paper we introduce and study the concept of the retract extensions of ordered sets. There are given an example of an extension which is retract and an example of an extension which is not retract. 
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     author = {N. Kehayopulu and I. S. Ponizovskii and K.-P. Shum},
     title = {Retract extensions of ordered sets},
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     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2005_321_a9/}
}
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N. Kehayopulu; I. S. Ponizovskii; K.-P. Shum. Retract extensions of ordered sets. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 12, Tome 321 (2005), pp. 205-212. http://geodesic.mathdoc.fr/item/ZNSL_2005_321_a9/