CLASSIFICATIONS OF UNITARY KRASNER HYPERRINGS OF SMALL ORDER

Saeed Mirvakili, Kazem Hamidizadeh, Rauofeh Manaviyat

DOI Number
https://doi.org/10.22190/FUMI230819033M
First page
481
Last page
492

Abstract


In this article, we investigate the distributability of the binary operation of monoids with zero compared to the hyperoperation of canonical hypergroups of order 2 and 3with the help of analytical and algebraic methods and without using computer calculations. Then, the unitary Krasner hyperrings of orders 2 and 3 are counted and classified up to isomorphism. In the end, we show the Krasner hyperfields of small order  with their Cayley tables.

Keywords

algebra, hypergroups, Cayley table.

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References


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DOI: https://doi.org/10.22190/FUMI230819033M

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