Published August 4, 2025
| Version v1
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DATABASE FOR REAL HYPERFIELDS ALGORITHM
Authors/Creators
- 1. University of Szczecin
-
2.
West Pomeranian University of Technology
Description
We study finite real hyperfields with the cyclic positive cones. We present an algorithm for
determining all such hyperfields up to isomorphism and compute its C-characteristic. By a computer
programming we give a complete classification of finite real hyperfields of orders up to 13 and determine
which C-characteristics appear in such hyperfields with orders up to 17.
In this database we present the numerical results concerning our algorithm in the case when the
positive cone is a cyclic group of order N , for N ≤ 8.
Files
DATABASE FOR REAL HYPERFIELDS ALGORITHM.pdf
Files
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