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DATABASE FOR REAL HYPERFIELDS ALGORITHM

Published in Zenodo (CERN European Organization for Nuclear Research) • Aug 4, 2025
NobleIDNI2P23W91R65S75
Authors:
Dawid Kędzierski
,
Hanna Stojałowska
,
Katarzyna Kuhlmann

Abstract

We study finite real hyperfields with the cyclic positive cones. We present an algorithm fordetermining all such hyperfields up to isomorphism and compute its C-characteristic. By a computerprogramming we give a complete classification of finite real hyperfields of orders up to 13 and determinewhich...

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