n-ARY HYPERGROUPS ASSOCIATED WITH n-ARY RELATIONS
نویسندگان
چکیده
منابع مشابه
SEVERAL ASPECTS ON THE HYPERGROUPS ASSOCIATED WITH n-ARY RELATIONS
This paper deals with hypergroupoids obtained from n-ary relations. We give conditions for an n-ary relation such that the hypergroupoid associated with it is a hypergroup. First we analyze this construction using a ternary relation and then we generalize it for an n-ary relation.
متن کاملn-ary hypergroups
in this paper the class of n-ary hypergroups is introduced and several properties are found andexamples are presented. n-ary hypergroups are a generalization of hypergroups in the sense of marty. on theother hand, we can consider n-ary hypergroups as a good generalization of n-ary groups. we define thefundamental relation β* on an n-ary hypergroup h as the smallest equivalence relation such tha...
متن کاملApplication of fundamental relations on n-ary polygroups
The class of $n$-ary polygroups is a certain subclass of $n$-ary hypergroups, a generalization of D{"o}rnte $n$-arygroups and a generalization of polygroups. The$beta^*$-relation and the $gamma^*$-relation are the smallestequivalence relations on an $n$-ary polygroup $P$ such that$P/beta^*$ and $P/gamma^*$ are an $n$-ary group and acommutative $n$-ary group, respectively. We use the $beta^*$-...
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ژورنال
عنوان ژورنال: Bulletin of the Korean Mathematical Society
سال: 2013
ISSN: 1015-8634
DOI: 10.4134/bkms.2013.50.2.507