Helix-Hopes on S-Helix Matrices

Authors

  • Souzana Vougioukli 7 Oikonomou str, Exarheia, Athens 10683, Greece
  • Thomas Vougiouklis Democritus University of Thrace, School of Education 681 00 Alexandroupolis, Greece

DOI:

https://doi.org/10.23755/rm.v33i0.385

Keywords:

hyperstructures, H v -structures, h/v-structures, hope, helix-hopes

Abstract

A hyperproduct on non-square ordinary matrices can be defined by using the so called helix-hyperoperations. The main characteristic of the helix-hyperoperation is that all entries of the matrices are used. Such operations
cannot be defined in the classical theory. Several classes of non-square matrices have results of the helix-product with small cardinality. We study the helix-hyperstructures on the representations and we extend our study up to Lie-H_v theory by using ordinary fields. We introduce and study the class of S-helix matrices.

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Published

2017-12-28

Issue

Vol. 33 (2017)

Section

Volume 33-2017

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