About the fundamental relations defined on the hypergroupoids associated with binary relations

作者：Cristea Irina^*; Stefanescu Mirela; Angheluta Carmen

来源：European Journal of Combinatorics, 2011, 32(1): 72-81.

DOI：10.1016/j.ejc.2010.07.013

This paper deals with connections between hypergroupoids and n-ary relations. First we prove that the study of the reduced hypergroupoids associated with n-ary relations can be linked to the simpler case of binary relations. On the basis of the properties of some fundamental relations defined on a hypergroupoid, we determine necessary and sufficient conditions for two elements in a hypergroupoid associated with a binary relation to be operationally equivalent or inseparable; moreover we characterize the reduced hypergroupoids in some special cases.

• 出版日期2011-1