Results 41 to 50 of about 2,856 (140)

ARH-quasigroups

Mathematical communications, 2011
In this paper, the concept of an ARH-quasigroup is introduced and identities valid in that quasigroup are studied. The geometrical concept of an affine-regular heptagon is defined in a general ARH-quasigroup and geometrical representation in the quasigroup $C(2 cos pi/7)$ is given.
Kolar - Šuper, Ružica, Kolar - Begović, Zdenka, Volenec, Vladimir   +2 more
openaire   +4 more sources

An encryption algorithm using a generalization of the Markovski algorithm and T-quasigroups

Acta et Commentationes: Ştiinţe Exacte şi ale Naturii
Here is a more detailed description of the algorithm proposed in [1]. This algorithm simultaneously uses two cryptographic procedures: encryption using a generalization of the Markovski algorithm [2] and encryption using a system of orthogonal ...
Nadezhda Malyutina, Victor Shcherbacov
doaj   +1 more source

Quasigroups, Asymptotic Symmetries and Conservation Laws in General Relativity

, 2004
A new quasigroup approach to conservation laws in general relativity is applied to study asymptotically flat at future null infinity spacetime. The infinite-parametric Newman-Unti group of asymptotic symmetries is reduced to the Poincar\'e quasigroup and
A. I. Nesterov, A. I. Nesterov, A. I. Nesterov, A. I. Nesterov, A. I. Nesterov, A. Komar, Alexander I. Nesterov, B. Bramson, D. Bak, E. T. Newman, E. T. Newman, H. Bondi, I. A. Batalin, J. Bičak, J. H. Winicour, L. A. Tamburino, L. V. Sabinin, L. V. Sabinin, N. V. Mitskievich, N. V. Mitskievich, O. M. Moreschi, R. Geroch, R. K. Sachs, R. K. Sachs, R. W. Lind, R. Wald, W. Bonnor   +26 more
core   +1 more source

Weak Hopf quasigroups

Asian Journal of Mathematics, 2016
In this paper we introduce the notion of weak Hopf quasigroup as a generalization of weak Hopf algebras and Hopf quasigroups. We obtain its main properties and we prove the fundamental theorem of Hopf modules for these algebraic structures.
Álvarez, J. N. Alonso, Vilaboa, J. M. Fernández, Rodríguez, R. González   +2 more
openaire   +2 more sources

Eigenvalues of Relatively Prime Graphs Connected with Finite Quasigroups

Journal of Mathematics
A relatively new and rapidly expanding area of mathematics research is the study of graphs’ spectral properties. Spectral graph theory plays a very important role in understanding certifiable applications such as cryptography, combinatorial design, and ...
Muhammad Nadeem, Nwazish Ali, Hafiz Muhammad Bilal, Md. Ashraful Alam, M. I. Elashiry, Kholood Alnefaie   +5 more
doaj   +1 more source

Inverse Spectrum and Structure of Topological Metagroups

Mathematics
In this article, a structure of topological metagroups is scrutinized. Their inverse spectra are studied. This also permits us to construct abundant families of topological metagroups and quasigroups.
Sergey Victor Ludkowski
doaj   +1 more source

Quasigroups in cryptology [PDF]

Computer Science Journal of Moldova, 2009
We give a review of some known published applications of quasigroups in cryptology.
V.A. Shcherbacov
doaj  

LGS-quasigroups

Quasigroups and related systems, 2009
The concept of a LGS-quasigroup is defined and investigated in this paper. The geometric concepts of parallelograms and midpoints are introduced in a general LGS-quasigroup and the geometrical interpretation in the LGS-quasigroup $C(\frac{;1};{;2};(3 + \sqrt 5))$ is given.
Kolar Begović, Zdenka, Volenec, Vladimir   +1 more
openaire   +2 more sources

3D compatible ternary systems and Yang-Baxter maps

, 2013
According to Shibukawa, ternary systems defined on quasigroups and satisfying certain conditions provide a way of constructing dynamical Yang-Baxter maps. After noticing that these conditions can be interpreted as 3-dimensional compatibility of equations
Kouloukas, Theodoros E., Papageorgiou, Vassilios G.   +1 more
core   +1 more source

Finite automata over magmas: models and some applications in Cryptography [PDF]

Computer Science Journal of Moldova, 2018
In the paper the families of finite semi-automata and reversible finite Mealy and Moore automata over finite magmas are defined and analyzed in detail.
Volodymyr V. Skobelev, Volodymyr G. Skobelev   +1 more
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