JP Journal of Algebra, Number Theory and Applications
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Abstract: We give a natural, new
method to derive the field of
the rational numbers from the set of natural numbers and
rings of fractions from commutative rings A.
In it we do neither define the addition + and the multiplication × by and nor use polynomial rings containing
the rational integers (resp. A).
We can prove these equations and also They are not consequences of
definitions. We use local rings.
Keywords and phrases: the rational number field, ring of fractions of a commutative ring.
