Results 61 to 70 of about 305 (130)
History and new possible research directions of hyperstructures
We present a summary of the origins and current developments of the theory of algebraic hyperstructures. We also sketch some possible lines of research .
Piergiulio Corsini
doaj
Degree hypergroupoids associated with hypergraphs
In this paper, we present some connections between graph theory and hyperstructure theory. In this regard, we construct a hypergroupoid by defining a hyperoperation on the set of degrees of vertices of a hypergraph and we call it a degree hypergroupoid. We will see that the constructed hypergroupoid is always anHv-group. We will investigate
Mehdi Farshi +2 more
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We introduce a notion of "hopfish algebra" structure on an associative algebra, allowing the structure morphisms (coproduct, counit, antipode) to be bimodules rather than algebra homomorphisms. We prove that quasi-Hopf algebras are hopfish algebras.
Weinstein, Alan +2 more
core
Applicazioni (h,A)-lineari omomorfismi di M_A-ipergruppoidi
In the papers [9], [10] we introduced and studied M_λ -hypergroupoids; also, we obtained some results on the automorphism group of a G_ λ -hypergroupoid.
Freni, Domenico
core
"In this thesis we follow two fundamental concepts from the {\it higher dimensional algebra}, the {\it categorification} and the {\it internalization}. From the geometric point of view, so far the most general torsors were defined in the dimension $n=1$,
Baković, Igor
core
Contribution to matroidal hyperstructures
In this paper the author continues his preceding researches on matroidal hyperstructures. A new class of hypergroups is introduced, called M_λ. These hypergroups are generated by the action of a group on a set.
FRENI, Domenico
core
MULTIENDOMORPHISMS OF HYPERGROUPOIDS
We introduce the notion of multiendomorphism in a hypergroupoid and the notion of G-semiring. We show that, if (H, ∗) is a commutative semi-hypergroup, these multiendomorphisms form a G-semiring (E,+, ◦, ≤), where the operation + is induced by ∗, ◦ is ...
core
A new kind of fuzzy n-ary hypergroups in the framework of soft set theory. [PDF]
Li H, Yin Y.
europepmc +1 more source
Nidus Idearum. Scilogs, XIV: SuperHyperAlgebra [PDF]
In this fourteenth book of scilogs – one may find topics on examples where neutrosophics works and others don’t, law of included infinitely-many-middles, decision making in games and real life through neutrosophic lens, sociology by neutrosophic methods,
Smarandache, Florentin
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A structure theorem for 2-hypergroupoids with topological applications
\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)].
Carrasco Carrasco, Pilar +2 more
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