O ciałach uporządkowanych

• Authors: Piotr Błaszczyk

Abstracts

PL

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.

• Publisher: Uniwersytet Komisji Edukacji Narodowej w Krakowie
• Journal: Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia
• Year: 2012
• Volume: 4
• Pages: 15-30

Dates

published

2012

Contributors

author

Piotr Błaszczyk

• Instytut Matematyki, Uniwersytet Pedagogiczny w Krakowie

Identifiers

Biblioteka Nauki

1789368