شماره ركورد كنفرانس :
3806
عنوان مقاله :
Enumeration of some n-hypergroups on sets with two elements
عنوان به زبان ديگر :
Enumeration of some n-hypergroups on sets with two elements
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
كليدواژه :
Algebraic hyperstructure , n , hypergroup , n , group.
عنوان كنفرانس :
دهمين كنفرانس ملي نظريه گراف و تركيبات جبري
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.
