학술논문
On the structure of hyperfields obtained as quotients of fields.
Document Type
Article
Author
Source
Subject
*NUMBER theory
*RAMSEY theory
*FINITE fields
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*
Language
ISSN
0002-9939
Abstract
We determine all isomorphism classes of hyperfields of a given finite order which can be obtained as quotients of finite fields of sufficiently large order. Using this result, we determine which hyperfields of order at most 4 are quotients of fields. The main ingredients in the proof are the Weil bounds from number theory and a result from Ramsey theory. [ABSTRACT FROM AUTHOR]