Special Classes of H_b-Matrices

Authors

  • Achilles Dramalidis Democritus University of Thrace, School of Education

DOI:

https://doi.org/10.23755/rm.v33i0.382

Keywords:

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

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.

Author Biography

  • Achilles Dramalidis, Democritus University of Thrace, School of Education

    Department of Education Sciences in Early Childhood

    Professor

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Published

2017-12-28

Issue

Vol. 33 (2017)

Section

Volume 33-2017

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