Enumeration of some n-hypergroups on sets with two elements

عنوان به زبان ديگر

پديدآورندگان

Safari M. B m-safari@stu.yazd.ac.ir Yazd University, , Davvaz B davvaz@yazd.ac.ir Yazd University, , Leoreanu-Fotea V foteavioleta@gmail.com Faculty of Mathematics, “Al.I. Cuza University, Iaşi, Romania

تعداد صفحه

4

كليدواژه

Algebraic hyperstructure , n , hypergroup , n , group.

سال انتشار

1396

عنوان كنفرانس

دهمين كنفرانس ملي نظريه گراف و تركيبات جبري

زبان مدرك

انگليسي

چكيده فارسي

In this paper we classify all 3- and 4-hypergroups over sets with two elements. n-hypergroups are a natural extension of n-groups and were introduced by B. Davvaz and T. Vougiouklis in 2006. Till now, no exact statistics of n- hypergroups have been done. Moreover, there is no classification of n-groups even over small sets. That is why we use a computer program that can check and classify all n-structures over sets with two elements for n = 3 and 4.

چكيده لاتين

In this paper we classify all 3- and 4-hypergroups over sets with two elements. n-hypergroups are a natural extension of n-groups and were introduced by B. Davvaz and T. Vougiouklis in 2006. Till now, no exact statistics of n- hypergroups have been done. Moreover, there is no classification of n-groups even over small sets. That is why we use a computer program that can check and classify all n-structures over sets with two elements for n = 3 and 4.

كشور

ايران