Minimal Hv-Fields

Authors

  • Thomas Vougiouklis Emeritus Professor (Democritus University of Thrace, Neapoli 14-6, Xanthi 67100, Greece)

DOI:

https://doi.org/10.23755/rm.v38i0.522

Keywords:

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

Abstract

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.

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Published

2020-06-30

Issue

Vol. 38 (2020)

Section

Volume 38-2020

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