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On the transitivity of the relation β in semihypergroups

Rendiconti del Circolo Matematico di Palermo, 1996
A significant result in the hypergroup theory is the one given by D. Freni in 1991, that is that in a hypergroup \(\beta=\beta^*\). The aim of the paper under review is to characterize semihypergroups in which the relation \(\beta\) is transitive. The main theorem gives a necessary and sufficient condition such that \(\beta\) is transitive.
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RELATIONS ADMITTING A TRANSITIVE GROUP OF AUTOMORPHISMS

Mathematics of the USSR-Sbornik, 1975
The concepts of a Cayley relation of arbitrary arity and a quotient relation are defined. Cayley relations are characterized as those relations whose automorphism groups contain regular subgroups. The freedom of Cayley relations is proved: any relation with a transitive automorphism group is isomorphic to a quotient relation of a Cayley relation.Using ...
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TRANSITIVITY OF  -RELATION ON HYPERMODULES

2008
iV In this paper we consider a strongly regular relation ƒa on hypermodules so that the quotient is amodule (with abelian group) over a fundamental commutative ring. Also, we state necessary and sufficientconditions so that the relation ƒa is transitive, and finally we prove that ƒa is transitive on hypermodules.
ANVARIYEH, S. M   +2 more
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Relational Transitions

2010
Beatrice Hale   +2 more
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φ-ψ-Contractions under W-Distances Employing Symmetric Locally T-Transitive Binary Relation

Symmetry, 2022
Mohammad Arif   +2 more
exaly  

Algorithms for computing the min-transitive closure and associated partition tree of a symmetric fuzzy relation

European Journal of Operational Research, 2004
H De Meyer, Bernard De Baets
exaly  

Computing a Transitive Opening of a Reflexive and Symmetric Fuzzy Relation

Lecture Notes in Computer Science, 2005
Luis Garmendia, Garmendia Luis
exaly  

The degree of transitivity of fuzzy relations

2024 17th International Symposium on Computational Intelligence and Design (ISCID)
Junyi Lin, Xuanxuan Li, Gang Li
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