Helix-Hopes on Finite Hyperfields

Authors

  • Thomas Vougiouklis Emeritus Professor, Democritus University of Thrace, Alexandroupolis, Greece
  • Souzana Vougiouklis Researcher in Maths and Music, 17 Oikonomou, Exarheia, Athens 10683, Greece

DOI:

https://doi.org/10.23755/rm.v31i0.321

Keywords:

hyperstructures, Hv-structures, h/v-structures, hope.

Abstract

Hyperstructure theory can overcome restrictions which ordinary algebraic structures have. A hyperproduct on non-square ordinary matrices can be defined by using the so called helix-hyperoperations. We study the helix-hyperstructures on the representations using ordinary fields. The related theory can be faced by defining the hyperproduct on the set of non square matrices. The main tools of the Hyperstructure Theory are the fundamental relations which connect the largest class of hyperstructures, the Hv-structures, with the corresponding classical ones. We focus on finite dimensional helix-hyperstructures and on small Hv-fields, as well.

 

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Published

2016-12-30

Issue

Vol. 31 (2016)

Section

Volume 31-2016

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