Results 101 to 110 of about 398 (137)
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Non-commutative hypergroupoid obtained from simple graphs
2023Summary: The purpose of this paper is the study of non-weak commutative hypergroups associated with hypergraphs. In this regards, we construct a hyperoperation on the set of vertices of hypergraph and obtain some results and characterizations of them. Moreover, according to this hyperoperation, we investigate conditions under which the hypergroupoid is
Mirvakili, Saeed +3 more
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1999
The definition of \(m\)-complete and feebly \(m\)-complete hypergroupoids is given. Two sufficient conditions for the existence of feebly associative hypergroups are obtained. Properties and examples on this class of hyperstructures are also studied.
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The definition of \(m\)-complete and feebly \(m\)-complete hypergroupoids is given. Two sufficient conditions for the existence of feebly associative hypergroups are obtained. Properties and examples on this class of hyperstructures are also studied.
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Hypergraphs, hypergroupoids and hypergroups.
1997A hypergroupoid is a pair \(\langle H,\circ\rangle\) consisting of a nonempty set \(H\) and a binary multivalued operation, called hyperoperation. A quasi-hypergroup is a hypergroupoid \(\langle H,\circ\rangle\) satisfying \(x\circ H=H=H\circ x\), for each \(x\in H\).
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A structure theorem for 2-hypergroupoids with topological applications
Collectanea Mathematica, 1985 \textit{H. Brandt} gave, in 1940, a structure theorem for connected groupoids G, which in modern terms says that any vertex group G(x) of G is a strong deformation rectract of G [Vjschr. Naturforsch. Ges. Zürich 85, Beibl. No. 32, 95-104 (1940; Zbl 0023.21404)].
María Pilar Carrasco Carrasco +2 more
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1998
In this paper a thoroughgoing study of hypergroupoids considered by the author in a previous work [Matematiche 52, No. 2, 271-295 (1997; Zbl 0941.20071)] is done. Let \(G\) be a group, \(\lambda\in G\) and \(\cdot\colon G\times M\) be an action of \(G\) on \(M\). The aim of this paper is to investigate the hyperoperation defined on \(M\) by: \(a\cdot b=
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In this paper a thoroughgoing study of hypergroupoids considered by the author in a previous work [Matematiche 52, No. 2, 271-295 (1997; Zbl 0941.20071)] is done. Let \(G\) be a group, \(\lambda\in G\) and \(\cdot\colon G\times M\) be an action of \(G\) on \(M\). The aim of this paper is to investigate the hyperoperation defined on \(M\) by: \(a\cdot b=
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A New Class of Hypergroupoids Associated to Binary Relations.
, 2003 Suppose that in a set a relation is considered, then several partial hyperoperations can be defined and studied. The authors define a new hyperoperation which is `smaller' than the one they already introduced and studied. Some properties of the above hyperstructure are proved and using a computer the size of those hyperoperations is obtained.
Mario De Salvo, Giovanni Lo Faro
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Fundamental relation on non-associative hypergroupoids
1999The paper deals with the fundamental relation \(\beta^*\) defined on non-associative hypergroupoids. The relation \(\beta^*\) on classes weaker than semihypergroups is studied, in relation with axioms originating from feebly associativity and strongly regular equivalence. Examples are also provided.
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Binary relations and hypergroupoids
2000The author associates a partial hyperoperation \(\langle\widetilde\circ_R\rangle\) to every binary relation \(R\) defined on a non-empty set \(H\) in the following way: \(x\widetilde\circ_R y=\{z\in H\mid xRz,\;zRy\}\). The hyperstructure \(\langle H,\widetilde\circ_R\rangle\) is a partial hypergroupoid and the necessary and sufficient condition so ...
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Soft crossed hypermodules and soft HG-hypergroupoids
Summary: In this article, we introduce the soft subhypergroupoid and soft action hypergroupoid and study their properties. We consider the category of soft hypergroupoids whose objects are soft hypergroupoids and morphisms are soft hypergroupoid homomorphisms.openaire +2 more sources
Double-Framed Soft Set Theory Applied to Abel-Grassmann’s Hypergroupoids
, 2021 Muhammad Izhar +4 more
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