Results 31 to 40 of about 356 (100)
, 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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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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Fuzzy implicative hyper BCK-ideals of hyper BCK-algebras
, 2002 We consider the fuzzification of the notion of implicative hyper BCK-ideals, and then investigate several properties. Using the concept of level subsets, we give a characterization of a fuzzy implicative hyper BCK-ideal.
Y. Jun, W. H. Shim
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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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, 1996 In this paper appears a study of certain fundamental properties of a new hypergroup which came into being during to approach of the theory of Language and Automata with the help of the hypercompositional structures.
G. G. Massouros +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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