Results 61 to 70 of about 305 (130)

History and new possible research directions of hyperstructures

open access: yesRatio Mathematica, 2011
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

open access: yesFilomat, 2014
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
openaire   +2 more sources

Hopfish algebras [PDF]

open access: yes, 2007
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

open access: yes, 2001
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  

Bigroupoid 2-torsors [PDF]

open access: yes, 2008
"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

open access: yes, 1997
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

open access: yes, 2008
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  

Nidus Idearum. Scilogs, XIV: SuperHyperAlgebra [PDF]

open access: yes
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
core   +2 more sources

A structure theorem for 2-hypergroupoids with topological applications

open access: yesCollectanea 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)].
Carrasco Carrasco, Pilar   +2 more
openaire   +2 more sources

Home - About - Disclaimer - Privacy