Results 31 to 40 of about 203 (138)
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
doaj +1 more source
On the Borderline of Fields and Hyperfields
Mathematics, 2023 The hyperfield came into being due to a mathematical necessity that appeared during the study of the valuation theory of the fields by M. Krasner, who also defined the hyperring, which is related to the hyperfield in the same way as the ring is related ...
Christos G. Massouros +1 more
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F-Hypergroups of Type U on the Right [PDF]
Mathematics Interdisciplinary Research, 2020 In this paper, first we introduce F-hypergroups of type U on the right. We will prove that every right scalar identity of an F-hypergroup of type U on the right of size ≤ 5 is also a left identity.
Mehdi Farshi +2 more
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[Retracted] Roughness in Hypervector Spaces
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 This paper examines rough sets in hypervector spaces and provides a few examples and results in this regard. We also investigate the congruence relations‐based unification of rough set theory in hypervector spaces. We introduce the concepts of lower and upper approximations in hypervector spaces.
Nabilah Abughazalah +3 more
wiley +1 more source
2‐Prime Hyperideals of Multiplicative Hyperrings
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 Multiplicative hyperrings are an important class of algebraic hyperstructures which generalize rings further to allow multiple output values for the multiplication operation. Let R be a commutative multiplicative hyperring. A proper hyperideal I of R is called 2‐prime if x∘y⊆I for some x, y ∈ R, then, x2⊆I or y2⊆I.
Mahdi Anbarloei, Xiaogang Liu
wiley +1 more source
Refined neutrosophic quadruple (po-)hypergroups and their fundamental group [PDF]
Neutrosophic Sets and Systems, 2019 After introducing the notion of hyperstructures about 80 years ago by F. Marty, a number of researches on its theory, generalization, and it’s applications have been done.
M. Al-Tahan, B. Davvaz
doaj +1 more source
On special weak free (semi)hypergroups [PDF]
Journal of Hyperstructures, 2013 In this paper, we study some properties of special weak free (semi)hypergroups and we generalize the Nielsen-Schreier theorem for the class of special weak free hypergroups.
Morteza Jafarpour, Abdolah Chashiyani
doaj +1 more source
Reducibility in Corsini hypergroups
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 In this paper, we study the reducibility property of special hyper-groups, called Corsini hypergroups, named after the mathematician who introduced them.
Kankaras Milica
doaj +1 more source
Proceedings of the 17th ACM international conference on Multimedia, 2009 The amount of multimedia content available online constantly increases, and this leads to problems for users who search for content or similar communities. Users in Flickr often self-organize in user communities through Flickr Groups. These groups are particularly interesting as they are a natural instantiation of the content~+~relations social media ...
Radu Andrei Negoescu +4 more
openaire +2 more sources
Cyclicity in EL–Hypergroups [PDF]
Symmetry, 2018 In the algebra of single-valued structures, cyclicity is one of the fundamental properties of groups. Therefore, it is natural to study it also in the algebra of multivalued structures (algebraic hyperstructure theory). However, when one considers the nature of generalizing this property, at least two (or rather three) approaches seem natural ...
Michal Novák +2 more
openaire +4 more sources