Helix hyperoperation in teaching research

Souzana Vougioukli


Interaction between sciences has always been an optimum. Within this frame of interdisciplinary approach, an attempt is made to apply a method, a mathematical model, used in the Hyperstructure Theory, in teaching and research procedure. More specifically, when dealing with a great amount of data arranged in a ‘linear’ disposal, it is quite difficult to teach. This is the case when the Helix Model is suggested to be used. With the Helix Model, every single piece of data is present and every element maintains its independence.


Helix hyperoperation; hyperoperation; teaching

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Corsini P., Leoreanu V. (2003). Application of Hyperstructure Theory, Klower Academic Publishers.

Davvaz B., Vougioukli S., Vougiouklis T. (2011). On the multiplicative Hv-rings derived from helix hyperoperations, Util. Math., 84, 53-63.

Davvaz D., Vougiouklis T. (2018). A Walk Through Weak Hyperstructures, Hv-Structures, World Scientific.

Vougiouklis S. (2009). Hv-vector spaces from helix hyperoperations, Int. J. Math. Anal. (New Series), 1(2), 109-120.

Vougiouklis S. (2020). Hyperoperations defined on sets of S-helix matrices, J. Algebraic Hyperstructures and Logical Algebras, V.1, N.3, 81-90.

Vougiouklis S., Vougiouklis T. (2008). Helix-Hopes on S-Helix Matrices, Ratio Mathematica, V. 33, 67-179.

Vougiouklis S., Vougiouklis T. (2016). Helix-hopes on Finite Hv-fields, Algebras Groups and Geometries (AGG), V.33, N.4, 2016, 491-506.

Vougiouklis T. (1991). The fundamental relation in hyperrings. The general hyperfield, 4th AHA, Xanthi, Greece (1990), World Scientific, 209-217.

Vougiouklis T. (1994). Hyperstructures and their Representations, Monographs in Mathematics, Hadronic.

Vougiouklis T. (1995). Some remarks on hyperstructures, Contemporary Mathematics, Amer. Math. Society, 184, 427-431.

Vougiouklis T. (1999). On Hv-rings and Hv-representations, Discrete Mathematics, Elsevier, 208/209, 615-620.

Vougiouklis T., Vougiouklis S. (2005). The helix hyperoperations, Italian J. Pure Appl. Math., 18, 197-206.

Vougiouklis T., Vougiouklis S. (2015). Hyper-representations by non square matrices. Helix-hopes, American J. Modern Physics, 4(5), 52-58.

Vougiouklis T., Vougiouklis S. (2016). Helix-Hopes on Finite Hyperfields, Ratio Mathematica, V.31, 2016, 65-78.

DOI: http://dx.doi.org/10.23756/sp.v8i2.557


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Science & Philosophy - Journal of Epistemology, Science and Philosophy. ISSN 2282-7757; eISSN  2282-7765.