On algebraically closed Krasner hyperfields

Authors

  • Alessandro Linzi University of Nova Gorica - Center for Information Technologies and Applied Mathematics

Keywords:

Krasner hyperfield, model theory, quantifier elimination, multioperation

Abstract

In this short paper, we prove two negative results: the first order theory of algebraically closed Krasner hyperfields is neither complete nor substructure complete, the latter meaning that the theory does not admit quantifier elimination.

Cover of n°54 Italian Journal of Pure and Applied Mathematics

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Published

2025-12-07

How to Cite

Linzi, A. (2025). On algebraically closed Krasner hyperfields. Italian Journal of Pure and Applied Mathematics, 54, 105–112. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/5643

Issue

N°54 - December 2025

Section

Articoli - Forum Editrice

License

Copyright (c) 2025 Alessandro Linzi

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

L'opera è pubblicata sotto  Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)

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