The Divisors’ Hyperoperations

Achilles Dramalidis


In the set N of the Natural Numbers we define two hyperoperations based on the divisors of the addition and multiplication of two numbers. Then, the properties of these two hyperoperations are studied together with the resulting hyperstructures. Furthermore, from the coexistence of these two hyperoperations in N ∗ , an H v -ring is resulting which is dual.


Hyperstructures, H v -structures

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