Geodesic
O ciałach uporządkowanych
Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia, Tome 4 (2012) no. 1, pp. 15-30

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In this paper, we present some basic facts concerning ordered fields. We review definitions of an ordered field, give an example of a field that admits many orderings, and present equivalent definitions of the axiom of Archimedes and the continuity axiom. We show how to extend an ordered field by means of an ultrapower construction and formal power series. 
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Błaszczyk, Piotr. O ciałach uporządkowanych. Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia, Tome 4 (2012) no. 1, pp. 15-30. http://geodesic.mathdoc.fr/item/AUPCDM_2012_4_1_a1/