Construction of Ternary H v -groups and Ternary P-hyperoperations |
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| Authors: | S Mirvakili S M Anvariyeh |
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| Institution: | 1. Department of Mathematics , Payame Noor University , Tehran , Iran;2. Department of Mathematics , Yazd University , Yazd , Iran |
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| Abstract: | In this paper, we study the concept of ternary H v -groups and some their properties. We give some examples of ternary H v -groups. Also, we consider the fundamental relation β* on a ternary H v -group and prove that β* is a compatible relation on a ternary H v -group. In addition, we define the P-hyperoperation, and then, we construct a new ternary H v -group. |
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| Keywords: | Fundamental relation H v -structure Ternary group Ternary H v -group |
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