Results 71 to 80 of about 1,878 (148)

Hamiltonian selfdistributive quasigroups

Journal of Algebra, 2005
The problem of the existence of non-medial distributive hamiltonian quasigroups is solved. Translating this problem first to commutative Moufang loops with operators, then to ternary algebras and, finally, to cocyclic modules over\linebreak $\Bbb Z[x,x^{-1},(1-x)^{-1}]$, it is shown that every non-medial distributive hamiltonian quasigroup has at least
Herbera, Dolors, Kepka, Tomáš, Němec, Petr   +2 more
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Multivariate Quadratic Equations in Public-key Cryptography

Безопасность информационных технологий, 2013
The work is dedicated to appliances of multivariate quadratic equations in modern public-key cryptography. The existing cryptosystems are reviewed, pointing out their pros and contras.
Andrey Valerievich Zhatkin
doaj  

ARO-quasigroups

Quasigroups and related systems, 2010
In this paper the concept of ARO-quasigroup is introduced and some identities which are valid in a general ARO-quasigroup are proved. The "geometric" concepts of midpoint, parallelogram and affine-regular octagon is introduced in a general ARO-quasigroup.
Volenec, V., Kolar-Begovic, Z., Kolar-Super, R.   +2 more
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Quasigroups. II [PDF]

Transactions of the American Mathematical Society, 1944
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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
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About International Conference MITI2018 [PDF]

Computer Science Journal of Moldova, 2018
The conference is a homage to the illustrious mathematician Valentin Belousov, the founder of the Theory of Quasigroups and Loops in the former USSR, doctor habilitate in physics and mathematics, professor, correspondent member at the Academy of ...
Ina Ciobanu, Svetlana Cojocaru, Mircea Petic   +2 more
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Algebraic Properties of Quasigroup Under Q-neutrosophic Soft Set [PDF]

Neutrosophic Sets and Systems
The novel concept called neutrosophic set was launched to take care of indeterminate factors in real-life data. The hybrid model of neutrosophic set and soft set has been widely studied in different areas of algebra, especially in associative structures ...
Benard Osoba, Oyebo Tunde Yakub, Abdulkareem Abdulafeez Olalekan   +2 more
doaj   +1 more source

A message recovery attack on multivariate polynomial trapdoor function. [PDF]

PeerJ Comput Sci, 2023
Ali R, Hussain MM, Kanwal S, Hajjej F, Inam S.   +4 more
europepmc   +1 more source

Logarithmetics of Finite Quasigroups (I) [PDF]

Proceedings of the Edinburgh Mathematical Society, 1954
The study of non-associative algebras led to the investigation of identities connecting powers of elements of such algebras. Thus Etherington1 (1941, 1949, 1951) introduced the concept of the logarithmetic of an algebra, defining it roughly as “ the arithmetic of the indices of the general element”.
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Quasigroups, right quasigroups, coverings and representations

, 2018
For a fixed quasigroup Q, equivalences are established between the following categories: (i) the category of modules over the quasigroup; (ii) the category of representations of a stabilizer in the universal multiplication group; (iii) the category of representations of the fundamental groupoid of the Cayley diagram of the quasigroup in the category of
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