Results 11 to 20 of about 154 (98)
Cayley hypergraph over polygroups [PDF]
Transactions on CombinatoricsComer introduced a class of hypergroups, using the name of polygroups. He emphasized the importance of polygroups, by analyzing them in connections to graphs, relations, Boolean and cylindric algebras.
Abolfazl Nikkhah, Bijan Davvaz
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From HX-Groups to HX-Polygroups [PDF]
Axioms, 2023 HX-groups are a natural generalization of groups that are similar in construction to hypergroups. However, they do not have to be considered as hypercompositional structures like hypergroups; instead, they are classical groups.
Seyed Sh. Mousavi +2 more
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Ratio Mathematica, 1997 The concepts of scalars, fuzzy sub-F-polygroups and fuzzy congruence relations of an F-polygroup are defined and some theorems are proved.
A. Hasankhani, M. M. Zahedi
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Category of Fuzzy Topological Polygroups [PDF]
International Journal of Analysis and Applications, 2016 In this paper, the relation between two definitions of a fuzzy topological polygroup is discussed. The collection of all fuzzy continuous functions from a fuzzy topological space Y to a fuzzy topological polygroup Z, denoted by FC(Y,Z) induces a ...
N. Abbasizadeh, B. Davvaz
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CAT(1)-POLYGROUPS AND PULLBACK CAT(1)-POLYGROUPS [PDF]
, 2014 In this paper, we give the notions of crossed polymodule and cat(1)-polygroup as a generalization of Loday's definition. Then, we define the pullback cat(1)-polygroup and we obtain some results in this respect.
Alp, M., Davvaz, B.
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Commutators-based graph in polygroup [PDF]
Journal of Mahani Mathematical ResearchIn this paper, first, we study commutators of a polygroup. Then for a finite polygroup $P$ and a fixed element $g \in P$, we introduce the $g$-graph $\Delta_P^g$.
Mohammad Hamidi +2 more
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Intuitionistic fuzzy multi-polygroups
Computational and Applied Mathematics, 2022 In recent years, intuitionistic fuzzy multisets and polygroup have become a subject of greatinterest for researchers and have been widely applied to algebraic structures.
Davvaz, Bijan +3 more
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020 In this paper, we introduce a geodesic metric space called generalized Cayley graph (gCay(P,S)) on a finitely generated polygroup. We define a hyperaction of polygroup on gCayley graph and give some properties of this hyperaction.
Arabpur F. +3 more
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The Role of Complete Parts in Topological Polygroups [PDF]
International Journal of Analysis and Applications, 2016 A topological polygroup is a polygroup P together with a topology on P such that the polygroup’s binary hyperoperation and the polygroup’s inverse function are continuous with respect to the topology.
M. Salehi Shadkami +2 more
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Ratio Mathematica, 2013 In this paper, those polygroups which are partially ordered are introduced and some properties and related results are given.
Mahmood Bakhshi, Radjab Ali Borzooei
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