Helix-hyperproduct on n × (n + 1) matrices

The helix-hyperoperations, hyper-sum and hyperproduct, are defined on any type of ordinary matrices. Thus, they  overcome restrictions which ordinary sum and product on matrices have. We focus on the representation theory of  hyperstructures, where the helix-product on any type of matrices, can be used. In fact, the helixproduct gives a hyper- semi-hypergroup structure or its generalization the Hv-semigroup. We restrict on the case of two m × n, with m n,  matrices, cases. The crucial point is that all entries of the original matrices are used, so the helix-product do not lose any  information. For the case of n × (n + 1) we present subsets closed under the helix-product. Finite or infinite fields and Hv- fields, are used, as well.