Results 31 to 40 of about 358 (102)
, 2015 A hyperoperation ◦ on a nonempty set H is a function from H×H into P ∗(H) where P ∗(H) is the set of all nonempty subset of H and (H, ◦) is call a hypergroupoid.
R. I. Sararnrakskul, S. Pianskool
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The non-commuting graph of a non-central hypergroup
Open Mathematics, 2019 The aim of this paper is to construct and study the properties of a certain graph associated with a non-central hypergroup, i.e. a hypergroup having non-commutative the associated fundamental group.
Iranmanesh Mahdiyeh +2 more
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Properties of n-ary hypergroups relevant for modelling trajectories in HD maps
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 In the paper we show that trajectories used in HD maps of autonomous vehicles can be well modelled by means of n-ary hyperoperations and hypergroups. We investigate some properties of such hypergroups.
Křehlík Štěpán +2 more
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Transitivity of the εm-relation on (m-idempotent) hyperrings
Open Mathematics, 2018 On a general hyperring, there is a fundamental relation, denoted γ*, such that the quotient set is a classical ring. In a previous paper, the authors defined the relation εm on general hyperrings, proving that its transitive closure εm∗$\begin{array}{} \
Norouzi Morteza, Cristea Irina
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The commutative quotient structure of m-idempotent hyperrings
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020 The α* -relation is a fundamental relation on hyperrings, being the smallest strongly regular relation on hyperrings such that the quotient structure R/α* is a commutative ring.
Zadeh Azam Adineh +2 more
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, 2011 The main aim of this paper is to generalize the concept of vector space by the hyperstructure. We generalize some definitions such as hypersubspaces, linear combination, Hamel basis, linearly dependence and linearly independence.
Roy, Sanjay, Samanta, T. K.
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An investigation on homomorphisms and subhyperalgebras of Sigma-hyperalgebras
, 2014 In this paper, we introduce the notion of -hyperalgebras for an arbitrary signature and provide some examples. Then we extend the notions of several kinds of homomorphisms and study their properties.
S. Rasouli, D. Heidari, B. Davvaz
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An investigation on hyper S-posets over ordered semihypergroups
Open Mathematics, 2017 In this paper, we define and study the hyper S-posets over an ordered semihypergroup in detail. We introduce the hyper version of a pseudoorder in a hyper S-poset, and give some related properties.
Tang Jian, Davvaz Bijan, Xie Xiang-Yun
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On intuitionistic fuzzy sub-hyperquasigroups of hyperquasigroups
, 2005 The notion of intuitionistic fuzzy sets was introduced by Atanassov as a generalization of the notion of fuzzy sets. In this paper, we consider the intuitionistic fuzzification of the concept of sub-hyperquasigroups in a hyperquasigroup and investigate ...
Davvaz, Bijan +2 more
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A new view of relationship between atomic posets and complete (algebraic) lattices
Open Mathematics, 2017 In the context of the atomic poset, we propose several new methods of constructing the complete lattice and the algebraic lattice, and the mutual decision of relationship between atomic posets and complete lattices (algebraic lattices) is studied.
Yu Bin, Li Qingguo, Wu Huanrong
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