Minimal Hv-Fields

Thomas Vougiouklis


Hyperstructures have applications in mathematics and in other sciences, which range from biology, hadronic physics, leptons, linguistics, sociology, to mention but a few. For this, the largest class of the hyperstructures, the Hv-structures, is used. They satisfy the weak axioms where the non-empty intersection replaces equality. The fundamental relations connect, by quotients, the Hv-structures with the classical ones. Hv-numbers are elements of Hv-field, and they are used in representation theory. We focus on minimal Hv-fields.


hyperstructure, Hv-structure, hope, hypernumbers, iso-numbers.

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