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- Title
Classification of Krasner Hyperfields of Order 4.
- Authors
Iranmanesh, Mahdeyeh; Jafarpour, Morteza; Aghabozorgi, Hossien; Zhan, Jian Ming
- Abstract
In this paper, first we introduce n-polygroups and characterize 2-polygroups of order 4 up to isomorphism. Then using 2-polygroups we introduce 2-Krasner hyperfields and we show that there exactly exists one 2-Krasner hyperfield of order 4. Moreover, we propose a hyperfield of order 4 which is not as a quotient hyperfield F G . Finally, some programs written in MATLAB which are based on obtained results compute the number of polygroups, weak polygroups and Krasner hyperfields of order 4 up to isomorphism.
- Subjects
CLASSIFICATION; ORDER
- Publication
Acta Mathematica Sinica, 2020, Vol 36, Issue 8, p889
- ISSN
1439-8516
- Publication type
Article
- DOI
10.1007/s10114-020-8282-z