Methods of constructing hyperfields

In this paper we introduce a class of hyperfields which contains non quotient hyperfields. Thus we give a negative answer to the question of whether every hyperfield is isomorphic to a quotient KG of a field K by some subgroup G of its multiplicative group.

Bibliographic Details
Main Author: Ch. G. Massouros
Format: Article
Language:English
Published: Hindawi Limited 1985-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171285000813