Special Classes of H_b-Matrices

Abstract

In the present paper we deal with constructions of 2x2 diagonal or upper-triangular or lower-triangular Hb-matrices with entries either of an Hb-field on ℤ2 or on ℤ3. We study the kind of the hyperstructures that arise, their unit and inverse elements. Also, we focus our study on the cyclicity of these hyperstructures, their generators and the respective periods.

Keywords

• hope, H_v-structure, H_b-structure, H_v-matrix.