Results 71 to 80 of about 165 (103)

Hypergroupoids and cryptosystems

Journal of Discrete Mathematical Sciences and Cryptography, 2002
Abstract The GW-hypergroupoids are defined as generalization of the Wall hypergroupoids. The authors introduce a system to obtain a ciphertext using a GW-hypergroupoid. Conditions are given on the GW-hypergroupoid to univocally decipher a given ciphertext and to protect the original message and the key.
MIGLIORATO, Renato, GENTILE, GIUSEPPE
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An overview of topological hypergroupoids

Journal of Intelligent and Fuzzy Systems, 2018
On a hypergroup, one can define a topology such that the hyperoperation is pseudocontinuous. The purpose of this paper is to study examples of topological hypergroupoids. We show that there is no relation (in general) between pseudotopological and strongly pseudotopological hypergroupoids. In particular, we present a topological hypergroupoid that does
M Al Tahan, Sárka Hoskova-Mayerova, Bijan Davvaz   +2 more
exaly   +3 more sources

Associativity Test in Hypergroupoids

36th International Symposium on Multiple-Valued Logic (ISMVL'06), 2006
To test whether a groupoid is a semigroup can be tedious and the same difficulty arises for partial hypergroupoids. We adapt Light’s associativity test to partial hypergroupoids and for finite hypergroupoids express it in matricial terms.
M Miyakawa, I G Rosenberg
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Isomorphisms of Finite Hypergroupoids

Annals of Discrete Mathematics, 1988
Summary We characterize a particular class of finite commutative hypergroupoids, called minimal hypergroupoids , such that for every finite commutative hypergroupoid H, there exists one and only one minimal hypergroupoid isomorphic to H. We denote it with MIN(H).
Renato Migliorato
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A note on quasi-Steiner hypergroupoids

Journal of Discrete Mathematical Sciences and Cryptography, 2003
Abstract The class of hyperstructures called quasi-Steiner hypergroupoids are studied and their group of automorphisms are found in some interesting cases. In particular, there exist quasi-Steiner hypergroupoids (H, ○) which group of automorphisms is exactly the group of automorphisms fixing a point and a line in the geometric space associated to (H, ○)
Giuseppe Gentile
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Feebly associativeP-hypergroupoids

Rendiconti Del Circolo Matematico Di Palermo, 2000
The concept of \(P\)-hyperoperation on a semihypergroup, using any subset, was introduced in the early 1980's. In this paper, it is studied the class of \(P\)-hypergroupoids when they satisfy the feebly associative property. Properties of the feebly associative \(P\)-hypergroupoids related to the \(\beta^*\) relation are obtained. It is also considered
Stefanos Spartalis, Spartalis Stefanos
exaly   +4 more sources

A note on the cyclic hypergroupoids

, 1995
In this paper one begins to studi cyclic hypergroupoids. In particular, in the finite case, by using the set C_x= \{n\in N^* | x^{(n+1)}\subseteq \bigcup_{k=1}^n x^{(k)} \} and the maximum element of the set N-C_x, one characterizes the structure of the cyclic subhypergroupoid generated by x.
FRENI, Domenico
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Matroidal \(M_\lambda\)-hypergroupoids. \(\lambda\)-linear mappings and automorphisms of \(M_\lambda\)-hypergroupoids

, 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=
FRENI, Domenico
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On a strongly regular relation in hypergroupoids

, 1993
Let \(H\) be a hypergroupoid and \(n \in \mathbb{N}^*\). Let \(\gamma\) be a grouping of the indices \(\{1,\dots,n\}\) respecting their order. If \(z_ 1,z_ 2,\dots,z_ n\) are elements of \(H\) we denote by \(\displaystyle\prod^ n_{i=1}{^{(\gamma)} z_ i}\) the product of these elements according to \(\gamma\). Define on \(H\) a relation \(\Delta\) by: \(
FRENI, Domenico
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Hypergroupoids and fundamental relation

, 1994
In this work we study hypergroupoids whose β-relation is transitive, by using the fundamental relations β, β*, δ and δ*. We take several examples, finding the necessary and sufficient conditions such that a quasi-hypergroup has β*=β=δ=δ* (i.e. it is of kind T_1).
FRENI, Domenico
openaire   +2 more sources