Results 61 to 70 of about 189 (116)

Directed Graphs representing isomorphism classes of C-Hypergroupoids

Ratio Mathematica, 2012
We investigate the relation of directed graphs and hyperstructures by virtue of the graph hyperoperation. A new class of graphs arises in this way representing isomorphism classes of C-hypergroupoids and we present the 17 such graphs that correspond to ...
Antonios Kalampakas, Stefanos Spartalis, Kassiani Skoulariki   +2 more
doaj  

Hyperoperations defined on sets of S -helix matrices [PDF]

Journal of Algebraic Hyperstructures and Logical Algebras, 2020
A hyperproduct on non-square ordinary matrices can be defined by using the helix-hyperoperation. Therefore, the helix-hyperoperation (abbreviated hope ) is based on a classical operation and was introduced in order to overcome the non-existing cases.
openaire   +1 more source

Topological hypergroupoids

, 2012
Hypergroups are generalizations of groups. If this binary operation is taken to be multivalued, then we arrive at a hypergroup. The motivation for generalization of the notion of group resulted naturally from various problems in non-commutative algebra ...
Hošková-Mayerová, Šárka
core   +1 more source

One interval in the lattice of partial hyperclones [PDF]

, 2005
summary:In this paper the structure of the interval $[O_A, Hp_A]$ in the lattice of partial hyperclones is determined, where $O_A$ is the clone of all total operations and $Hp_A$ is the clone of all partial hyperoperations on $A$
Pantović, Jovanka, Doroslovački, Rade, Gradimir Vojvodić, Jovanka Pantović, Vojvodić, Gradimir, Rade Doroslovački   +5 more
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Realm Calculus: Foundations of Hyperoperational Analysis

Most known non-Newtonian calculus is a special case of a single parameter space. This paper identifies that space and provides explicit generators for constructing new branches of analysis.A realm calculus is built by choosing two levels of the Ackermann-Goodstein hyperoperational hierarchy: one governing how the input is perturbed, one governing how ...
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On residuated n-lattice

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
In this paper, we introduce residuated n-lattice: a variety of residuated semigroup equipped with binary hyperoperations n-sup and n-inf. We define the left bound, right bound, n-supremum, n-infimum, maximum and minimum with respect to it′s relation.
Zahiri Saeide, Saeid Arsham Borumand
doaj   +1 more source

Hyperoperation: Introduction To The Theory And Potential Solutions

, 2019
We investigate the sequence of hyperoperations, which begins with addition, multiplication, andexponentiation. The nth hyperoperation is defined by iterating the previous operation.
Dalthorp, Mark
core  

Hyperhomographies on Krasner Hyperfields

, 2019
In this paper, we introduce generalized homographic transformations as hyperhomographies over Krasner hyperfields.These particular algebraic hyperstructues are quotient structures of classical fields modulo normal groups.
Irina Cristea, Cristea, Irina, Morteza Jafarpour, Vahid Vahedi, Jafarpour, Morteza, Vahidi, Vahid   +5 more
core   +1 more source

The L-Fuzzy Nakano Hypergroup

, 2003
In this paper we start with a lattice (X, and define, in terms of #, a family of crisp hyperoperations X). We show that, for every p, the hyperalgebra p ) is a join space and the hyperalgebra (X, is very similar to a hyperlattice.
Ath Kehagias, K. Serafimidis
core  

Hyperstructures in Social Sciences

, 2013
This paper deals with hyperstructures in social sciences. It gives several examples of hyperstructures constructed in the social sphere and on human relations, e.g., it deals with relations between people and moreover their properties are studied ...
Sárka Hosková Mayerová, MATURO, Antonio   +1 more
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