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 Ch. G. Massouros. 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 of a field by some subgroup of its multiplicative group.