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n-ARY HYPERGROUPS ASSOCIATED WITH n-ARY RELATIONS
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 Title & Authors
n-ARY HYPERGROUPS ASSOCIATED WITH n-ARY RELATIONS
Anvariyeh, Seid Mohammad; Momeni, Somayyeh;
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 Abstract
The notion of -ary algebraic hyperstructures is a generalization of ordinary algebraic hyperstructures. In this paper, we associate an n-ary hypergroupoid (H, ) with an ()-ary relation defined on a non-empty set H. Then, we obtain some basic results in this respect. In particular, we investigate when it is an -ary -group, an -ary hypergroup or a join -ary space.
 Keywords
hypergroup;binary relation;n-ary hypergroup;n-ary -group;join n-ary space;
 Language
English
 Cited by
1.
n–ary hyperstructures constructed from binary quasi–ordered semigroups, Analele Universitatii "Ovidius" Constanta - Seria Matematica, 2014, 22, 3  crossref(new windwow)
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