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Fundamental Balance Relations

2004
Jay D. Humphrey, Sherry L. Delange
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Fundamental relation on non-associative hypergroupoids

1999
The paper deals with the fundamental relation \(\beta^*\) defined on non-associative hypergroupoids. The relation \(\beta^*\) on classes weaker than semihypergroups is studied, in relation with axioms originating from feebly associativity and strongly regular equivalence. Examples are also provided.
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Hypergroupoids and fundamental relation

1994
In this work we study hypergroupoids whose β-relation is transitive, by using the fundamental relations β, β*, δ and δ*. We take several examples, finding the necessary and sufficient conditions such that a quasi-hypergroup has β*=β=δ=δ* (i.e. it is of kind T_1).
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