Fractions in Transrational Arithmetic

Authors

  • Jan Aldert Bergstra University of Amsterdam

DOI:

https://doi.org/10.36285/tm.19

Abstract

In transrational arithmetic each closed fraction may be written as a simple fraction.  It is shown that unlike in involutive meadows, in transrational arithmetic open fractions cannot be  written as a sum of simple fractions (i.e. fractions the numerator and denominator of which are polynomials).  It is also not the case that each open fraction with a single variable can be written as a mixed fraction.

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Published

2020-01-27

How to Cite

Bergstra, J. A. (2020). Fractions in Transrational Arithmetic. Transmathematica. https://doi.org/10.36285/tm.19

Issue

2020: Transmathematica

Section

Primary Article

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