Results 61 to 70 of about 324 (107)
On the g-hypergroupoids associated with g-hypergraphs
In this paper, we associate a partial g-hypergroupoid with a given g-hypergraph and analyze the properties of this hyperstructure. We prove that a g-hypergroupoid may be a commutative hypergroup without being a join space. Next, we define diagonal direct product of g-hypergroupoids.
Farshi, Mehdi +2 more
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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
A Note on Intuitionistic Fuzzy Hypervector Spaces
The notion of Intuitionistic fuzzy hypervector space has been generalized and a few basic properties on this concept are studied. It has been shown that the intersection and union of an arbitrary family of Intuitionistic fuzzy hypervector spaces are also
Roy, Sanjay, Samanta, T. K.
core
On Pure Hyperideals In Ternary Semihypergroups [PDF]
This paper deals with a class of algebraic hyperstructures called ternarysemihypergroups, which are a generalization of ternary semigroups. In this paper weintroduce some special classes of hyperideals in ternary semihypergroups.
Kostaq HILA, Krisanthi NAKA
core
THE TRANSPOSITION AXIOM IN HYPERCOMPOSITIONAL STRUCTURES
The hypergroup (as defined by F. Marty), being a very general algebraic structure, was subsequently quickly enriched with additional axioms. One of these is the transposition axiom, the utilization of which led to the creation of join spaces (join ...
Ch.G. Massouros, G.G. Massouros
doaj
Completely simple and regular semi hypergroups [PDF]
In this paper the notion of simple and completely simple semi hypergroups are introduced. Basic properties of these algebraic structures are considered. Some methods for constructing new kinds of these hyperstructures are presented.
Jafarabadi, Hossein Mousa +2 more
core
A note on \'etale atlases for Artin stacks, Poisson structures and quantisation
We explain how any Artin stack $\mathfrak{X}$ over $\mathbb{Q}$ extends to a functor on non-negatively graded commutative cochain algebras, which we think of as functions on Lie algebroids or stacky affine schemes.
Pridham, J. P.
core
Semiregularity as a consequence of Goodwillie's theorem [PDF]
We realise Buchweitz and Flenner's semiregularity map (and hence a fortiori Bloch's semiregularity map) for a smooth variety X as the tangent of generalised Abel-Jacobi map on the derived moduli stack of perfect complexes on X.
Pridham, J. P.
core
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.
Tang, Xiang +2 more
core
Fuzzy sets in $\le$-hypergroupoids
This paper serves as an example to show the way we pass from ordered groupoids (ordered semigroups) to ordered hypergroupoids (ordered hypersemigroups), from groupoids (semigroups) to hypergroupoids (hypersemigroups). The results on semigroups (or on ordered semigroup) can be transferred to hypersemigroups (or to ordered hypersemigroups) in the way ...
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