Independence of the axioms of hypergroup over the group

Shant Navasardyan

This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

Abstract

The independence of the axioms of hypergroup over the group is proved. The proof is composed of two parts. In the first part, the independence of the axioms (P3)(P3), (A1)(A1), (A3)(A3), (A5)(A5) in the system of axioms of hypergroup over the group is shown by fixing the structural mappings ΦΦ and ΞΞ. In the same way, in the second part of the proof, the independence of the axioms (P1)(P1), (P2)(P2), (A2)(A2), (A4)(A4) is shown by fixing ΨΨ and ΛΛ.

Author(s)

Table of Contents

Independence of the axioms of hypergroup over the group

Abstract

Author(s)

Table of Contents

Related Articles

ON UNIQUENESS OF HOLOMORPHIC AND BOUNDED OUTSIDE THE CLOSED LOGARITHMIC SECTOR FUNCTIONS REPRESENTABLE BY LACUNARY POWER SERIES

COMPUTER DETECTING AND PROCESSING OF THE SIGNALS OF A FLAT-COIL ABSOLUTE-POSITION SENSOR BASED SEISMIC DETECTOR

Independence of the axioms of hypergroup over the group

Abstract

Subscribe to TheGufo Newsletter​

Subscribe to TheGufo Newsletter