On geometrical hyperstructures of finite order

Achilles Dramalidis

Abstract


It is known that a concrete representation of a finite k-dimensional Projective Geometry can be given by means of marks of a Galois Field GF [p^n], denoted by PG(k, p^n).
In this geometry, we define hyperoperations, which create hyperstructures of finite order and we present results, propositions and examples on this topic. Additionally, we connect these hyperstructures to Join Spaces.


Keywords


Hypergroups, Hv-groups, Hv-rings

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References


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