Results 111 to 120 of about 199 (139)
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1990
An \(A\)-hypergroup \(H\) is a canonical hypergroup such that for all \(x\in H\) the set \(x-x\) is a subhypergroup of \(H\). The core \(\omega_ H\) of a hypergroup \(H\) is the smallest sub-hypergroup \(h\) of \(H\) such that the quotient \(H/h\) is a group. In the paper it is proved that in some \(A\)- hypergroups the core is equal to a hyperaddition
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An \(A\)-hypergroup \(H\) is a canonical hypergroup such that for all \(x\in H\) the set \(x-x\) is a subhypergroup of \(H\). The core \(\omega_ H\) of a hypergroup \(H\) is the smallest sub-hypergroup \(h\) of \(H\) such that the quotient \(H/h\) is a group. In the paper it is proved that in some \(A\)- hypergroups the core is equal to a hyperaddition
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Cyclic hypergroups and torsion in hypergroups
1980One characterizes the structure of cyclic hypergroups, in particular of the complete ones. One extends to the hypergroups, some notions of group theory, as torsion, generators etc. and finds results which concern them.
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Generalization ofP-hypergroups
Rendiconti del Circolo Matematico di Palermo, 1987A hypergroup, in the sense of Marty (1934), is a set H equipped with an associative hyperoperation \(\cdot: H\times H\to P(H)\) which satisfies the property that \(xH=Hx=H\), for all \(x\in H\). We consider hypergroups constructed from ordinary semigroups which generalizes the notion of P- hypergroups introduced by the author [Acta Univ.
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Fuzzy transposition hypergroups.
2009Basic properties of fuzzy transposition hypergroups and fuzzy regular relations are investigated. Connections between fuzzy regular relations and fuzzy quotient hypergroups are described.
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Results on i.p.s. hypergroups.
J. Multiple Valued Log. Soft Comput., 2003Summary: We first construct an i.p.s. hypergroup from an arbitrary finite i.p.s. hypergroup. Then we show that for each positive integer \(n\), there is an i.p.s. hypergroup (which is not a group) of order \(n\). Finally we give some classifications of i.p.s. hypergroups of order 9.
Rajab Ali Borzooei +2 more
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Powers with integer exponent in a hypergroup, and r-hypergroups
1985Let H be a hypergroup. The author defines the powers of an element x in H , when the exponent is a negative integer or zero and brings out several properties about them. In the second part results about strongly cyclic r-hypergroups are obtained, e.g., all the subhypergroups of H are determined when H is generated by an element of finite period.
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On fractional maximal function and fractional integral on the Laguerre hypergroup
Journal of Mathematical Analysis and Applications, 2008Vagif S Guliyev
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