Results 1 to 10 of about 4,967 (212)
Classification of generalized ternary quadratic quasigroup functional equations of the length three
Karpatsʹkì Matematičnì Publìkacìï, 2019 A functional equation is called: generalized if all functional variables are pairwise different; ternary if all its functional variables are ternary; quadratic if each individual variable has exactly two appearances; quasigroup if its solutions are ...
F.M. Sokhatsky, A.V. Tarasevych
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CYCLIC ENTROPIC QUASIGROUPS [PDF]
Demonstratio Mathematica, 2009 AbstractIn this paper we explain the relationship of some entropic quasigroups to abelian groups with involution. It is known that (
Grzegorz Bińczak, Joanna Kaleta
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A computational approach to analyze the Hadamard quasigroup product
Electronic Research Archive, 2023 Based on the binary product described by any Latin square, the Hadamard quasigroup product is introduced in this paper as a natural generalization of the classical Hadamard product of matrices. The successive iteration of this new product is endowed with
Raúl M. Falcón +5 more
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A message recovery attack on multivariate polynomial trapdoor function [PDF]
PeerJ Computer Science, 2023 Cybersecurity guarantees the exchange of information through a public channel in a secure way. That is the data must be protected from unauthorized parties and transmitted to the intended parties with confidentiality and integrity. In this work, we mount
Rashid Ali +4 more
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Paths of Cultural Systems [PDF]
Entropy, 2017 A theory of cultural structures predicts the objects observed by anthropologists. We here define those which use kinship relationships to define systems.
Paul Ballonoff
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Affine Fullerene C60 in a GS-Quasigroup
Journal of Applied Mathematics, 2014 It will be shown that the affine fullerene C60, which is defined as an affine image of buckminsterfullerene C60, can be obtained only by means of the golden section.
Vladimir Volenec +2 more
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Isotopy of Abelian Quasigroups [PDF]
Proceedings of the American Mathematical Society, 1977 It is proved that every abelian quasigroup possesses a class of isomorphic principal isotopes which are commutative groups. Also it is indicated how the corresponding result for topological quasigroups can be utilised to obtain results for abelian topological quasigroups from analogous results for commutative topological groups.
Phullendu Das
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Weak associativity and quasigroup units
Publications de l'Institut Math?matique (Belgrade), 2019 We investigate a family of identities similar to weak associativity: x(y/y)?z = x?(y/y)z which might imply the existence of the {left, right, middle} unit in a quasigroup.
Aleksandar Krapež
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The Hadamard multiary quasigroup product [PDF]
Banach Center PublicationsThe Hadamard quasigroup product has recently been introduced as a natural generalization of the classical Hadamard product of matrices. It is defined as the superposition operator of three binary operations, one of them being a quasigroup operation. This
Raúl Manuel Falcón Ganfornina +2 more
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The group of strong Galois objects associated to a cocommutative Hopf quasigroup [PDF]
, 2016 Let H be a cocommutative faithfully flat Hopf quasigroup in a strict symmetric monoidal category with equalizers. In this paper we introduce the notion of (strong) Galois H-object and we prove that the set of isomorphism classes of (strong) Galois H ...
Rodríguez, R. González +2 more
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