Hyperoperations dened on sets of S-helix matrices

A hyperproduct on non-square ordinary matrices can be dened by using the helix-hyperoperation. Therefore, the helix-hyperoperation (abbreviated hope) is based on a classical operation and was introduced in order to overcome the non-existing cases. We study the helix- hyperstructures on the special type of matrices, the S- helix matrices, used on the small dimension representa- tions. In this paper, we introduce and focus our study on the class of S-helix matrices called k-overlap helix ma- trices. The reason is that their hyper-vector spaces can represent n-dimensional spaces which have independent both, single valued dimensions and multivalued dimen- sions.