Cyclicity in some classes of Hv-groups [PDF]
Journal of Algebraic Hyperstructures and Logical Algebras, 2020 The study of cyclicity in hyperstructures was started very early, almost from the beginning of the introduction of a hypergroup by F. Marty in 1934. New concepts appeared in hyperstructures the main of which are the period of a generator and the single power cyclicity. These terms have no meaning in the classical structures as groups.
P. Kamporoudi, T. Vougiouklis
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On geometric space and its applications in topological Hv-groups
Filomat, 2021 We generalize the concept of topological hypergroup to topological Hv-group and define some topologies on Hv-groups by using the concept of geometric space, which was defined by Freni. By applying these topologies, we have always a topological Hv-group without need any more conditions.
Hamid Ardakani, Asieh Pourhaghani
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Fundamental group and complete parts of Neutrosophic Quadruple H∗ v -groups
Neutrosophic Sets and Systems, 2023 It is well known that H∗ v -groups and groups are connected through regular relations. The purpose of this paper is to find a similar connection between neutrosophic H∗ v -groups and neutrosophic groups by using the concept of fundamental relations on Hv-groups. First, we characterize the complete parts of neutrosophic Hv-groups.
Madeleine Al Tahan +3 more
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HYPERHROUPS AND Hv-GROUPS ASSOCIATED TO ELEMENTS WITH FOUR OXIDATION STATES [PDF]
Facta Universitatis, Series: Mathematics and Informatics, 2019 The theory of hyperstructures is of great importance due to its connections to various fields of Science. $H_v$-structures are hyperstructures where the equality is replaced by the nonempty intersection. This class of the hyperstructures is very large so one can use it in order to define several objects that they are not possible to be defined in the ...
Al-Jinani, Rawia +2 more
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Derived metabelian groups from hv-groups
Journal of Hyperstructures, 2019 In this paper first we introduce and analyze a new definition of left and right commutators in Hv-group. Secondly, usingcommutators we introduce a new strongly equivalence relation π∗ on an Hv-group H such that the quotient H/π∗, the set of all equivalence classes, is a metabelian group.
Jafarpour, Morteza +2 more
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Hv-groups defined on the same set
Discrete Mathematics, 1996 A hypergroupoid \((H,)\) is called weakly associative if \((xy)z\cap x(yz)\neq\emptyset\), for every \(x\), \(y\) and \(z\) in \(H\). If \(xH=H=Hx\), for every \(x\in H\), the hypergroupoid is said to be a quasihypergroup. An element \(e\in H\) is called a scalar unit if \(ex=x=xe\), for every \(x\in H\).
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Lower and upper approximations in \(H_v\)-groups
Ratio Mathematica, 1999 The concepts of lower and upper approximations in the class of hyperstructures called \(H_v\)-groups are introduced and studied. The problem is faced using the fundamental relation \(\beta^*\) and the fundamental group of a given \(H_v\)-group.
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Prevalence and Severity of Self-Assessed Hallux Valgus in Community-Dwelling Older South African and Flemish Individuals. [PDF]
J Foot Ankle ResBreet MC +4 more
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Hand-Specific Engagement of Cerebello-Thalamo-Cortical and Higher-Order Sensorimotor Networks in Essential Tremor: Converging Evidence From GLM and MVPA-Based fMRI Analysis. [PDF]
Eur J NeurolTorres-Torres AS +6 more
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Volume-based bias in automated measurements of lateral ventricle and hippocampal volumes of mild traumatic brain injury patients. [PDF]
Neuroimage RepCarter L +14 more
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