Results 1 to 10 of about 3,290 (178)

Quasigroups, Asymptotic Symmetries and Conservation Laws in General Relativity [PDF]

, 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
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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
openalex   +2 more sources

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
openalex   +2 more sources

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
doaj   +3 more sources

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
doaj   +2 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   +3 more sources

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, Vilaboa, J. M. Fernández, Álvarez, J. N. Alonso   +2 more
core   +5 more sources

Hopf Quasigroup Galois Extensions and a Morita Equivalence

Mathematics, 2023
For H, a Hopf coquasigroup, and A, a left quasi-H-module algebra, we show that the smash product A#H is linked to the algebra of H invariants AH by a Morita context.
Shuanhong Wang
exaly   +3 more sources

FOUNDATIONS OF QUASIGROUPS. [PDF]

Proc Natl Acad Sci U S A, 1956
Stein SK.
europepmc   +5 more sources

Soft Neutrosophic Quasigroups [PDF]

Neutrosophic Sets and Systems, 2022
This paper introduced and studied for the first time the object of neutrosophic quasigroup Q(Q,·) over a quasigroup (Q, ·). It was shown that the direct product of any two neutrosophic quasigroups is a neutrosophic quasigroup.
Anthony Oyem, Temıtope. Gbolahan Jaiyeola, Johnson Olajire Olaleru, Benard Osoba   +3 more
doaj   +3 more sources