Uporządkowane struktury liczbowe

Abstract

In this article we consider the ordered algebraic structures of the systems of natural numbers, integers, rational and real numbers. We present the ordered algebra of natural numbers, the ordered ring of integers, and the ordered fields of rational and real numbers. The main problem considered for ordered number structures is the categoricity of these systems determined by a suitable isomorphism. First of all, this article is addressed at Mathematics students of pedagogical studies and at teachers of Mathematics.