Binary relations and reduced hypergroups

نویسندگان

  • Irina Cristea
  • Mirela Stefanescu
چکیده

Different partial hypergroupoids are associated with binary relations defined on a set H. In this paper we find sufficient and necessary conditions for these hypergroupoids in order to be reduced hypergroups. Given two binary relations and on H we investigate when the hypergroups associated with the relations ∩ , ∪ and are reduced. We also determine when the cartesian product of two hypergroupoids associated with a binary relation is a reduced hypergroup. © 2007 Elsevier B.V. All rights reserved. MSC: 20N20; 04A05

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عنوان ژورنال:
  • Discrete Mathematics

دوره 308  شماره 

صفحات  -

تاریخ انتشار 2008