The Divisors’ Hyperoperations

Authors

  • Achilles Dramalidis Democritus University of Thrace, School of Education, 681 00 Alexandroupolis, Greece

Keywords:

Hyperstructures, H v -structures

Abstract

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.

References

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Published

2013-12-29

Issue

Vol. 25 (2013)

Section

Volume 25-2013

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