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International Journal of Mathematics and Mathematical Sciences
Volume 8 (1985), Issue 4, Pages 725-728

Methods of constructing hyperfields

54 Klious St. Cholargos, Athens TK 155–61, Greece

Received 1 February 1983; Revised 21 July 1983

Copyright © 1985 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.