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On the transitivity of the relation β in semihypergroups
Rendiconti del Circolo Matematico di Palermo, 1996A 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, 1975The 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
2008iV 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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On the ‘transitivity’ of consequence relations
Journal of Logic and Computation, 2017openaire +1 more source
Is “Is a Precursor of” a Transitive Relation?
South Atlantic Quarterly, 1995openaire +1 more source
φ-ψ-Contractions under W-Distances Employing Symmetric Locally T-Transitive Binary Relation
Symmetry, 2022Mohammad Arif +2 more
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Computing a Transitive Opening of a Reflexive and Symmetric Fuzzy Relation
Lecture Notes in Computer Science, 2005Luis Garmendia, Garmendia Luis
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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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