Results 71 to 80 of about 998 (166)

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

Holomorphism and Edge Labeling: An Inner Study of Latin Squares Associated with Antiautomorphic Inverse Property Moufang Quasigroups with Applications

Complexity, Volume 2024, Issue 1, 2024.
Taking into account the most recent improvements in graph theory and algebra, we can associate graphs of some mathematical structures with certifiable, widely known applications. This paper seeks to explore the connections established through edge labeling among Latin squares derived from Moufang quasigroups, which are constructed using additive ...
Mohammad Mazyad Hazzazi, Muhammad Nadeem, Muhammad Kamran, Ismail Naci Cangul, J. Akhter, Georgi Georgiev   +5 more
wiley   +1 more source

Solution of distributive-like quasigroup functional equations [PDF]

, 1963
summary:We are investigating quasigroup functional equation classification up to parastrophic equivalence [Sokhatsky F.M.: On classification of functional equations on quasigroups, Ukrainian Math. J. 56 (2004), no. 4, 1259--1266 (in Ukrainian)].
Sokhatsky, Fedir M., Krainichuk, Halyna V., M. Hosszú, V. D. Belousov, J. Aczél   +4 more
core   +1 more source

T-quasigroups with Stein 2-nd and 3-rd identity

Acta et Commentationes: Ştiinţe Exacte şi ale Naturii
In this paper we prolong research of T-quasigroups with Stein 2-rd (xy ⋅ x = y ⋅ xy) and Stein 3-rd (xy ⋅ yx = y) identities [9].
Victor Shcherbacov, Irina Radilova, Petr Radilov   +2 more
doaj   +1 more source

Quasigroups in cryptology

, 2017
31 ...
openaire   +4 more sources

Sharp Characters of Quasigroups

European Journal of Combinatorics, 1993
The idea of a sharp permutation character of a group arises from combinatorial considerations. Recent work, founded on early results of H. F. Blichfeldt published in 1904, has shown that the definition of sharpness can be extended to arbitrary group characters, and in fact it has emerged that the natural object to define is a sharp triple.
openaire   +3 more sources

Codes of groupoids with one-sided quasigroup conditions [PDF]

, 2009
We propose a method of description of quasigroup conditions defining one-sided quasigroup classes and onesided quasigroup varieties by number codes. This method can be used for all one-sided quasigroups.
Ga̷luszka, J.
core   +1 more source

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.
openaire   +1 more source

Affine regular decagons in GS-quasigroup [PDF]

, 2008
summary:In this article the ``geometric'' concept of the affine regular decagon in a general GS--quasigroup is introduced. The relationships between affine regular decagon and some other geometric concepts in a general GS--quasigroup are explored.
Volenec, V., Kolar-Begović, Z.
core  

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