Results 91 to 100 of about 4,967 (212)
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 +2 more
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Automorphisms of Some Magmas of Order $k+k^2$
Известия Иркутского государственного университета: Серия "Математика", 2018 This paper is devoted to the study of automorphisms of finite magmas and to the representation of the symmetric permutation group $ S_k $ and some of its subgroups by automorphism groups of finite magmas.
A.V. Litavrin
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Stream cipher based on quasigroup string transformations in $Z_p^*$
, 2004 In this paper we design a stream cipher that uses the algebraic structure of the multiplicative group $\bbbz_p^*$ (where p is a big prime number used in ElGamal algorithm), by defining a quasigroup of order $p-1$ and by doing quasigroup string ...
Gligoroski, Danilo
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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. +2 more
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Transactions of the American Mathematical Society, 1944 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Hopf modules and the fundamental theorem for Hopf (co)quasigroups
, 2009 The notion of a Hopf module over a Hopf (co)quasigroup is introduced and a version of the fundamental theorem for Hopf (co)quasigroups is proven.Comment: 11 pages; missing (co)associativity in Definition 2.1 ...
Brzeziński, Tomasz
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On the coherent Hopf 2-algebras
, 2020 We construct a coherent Hopf 2-algebra as quantization of a coherent 2-group, which consists of two Hopf coquasigroups and a coassociator. For this constructive method, if we replace Hopf coquasigroups by Hopf algebras, we can construct a strict Hoft 2 ...
Han, Xiao
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Some applications of quasigroups in cryptology [PDF]
Computer Science Journal of Moldova, 2016 In the paper we present based on quasigroups new deniable encryption method, generalisation of Markovski stream cipher, and generalisation of El-Gamal enciphering system.
N.A. Moldovyan +2 more
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Representation of a gauge field via intrinsic “BRST” operator
Physics Letters B, 2015 We show that there exists a representation of a matrix-valued gauge field via intrinsic “BRST” operator assigned to matrix-valued generators of a gauge algebra. In this way, we reproduce the standard formulation of the ordinary Yang–Mills theory.
Igor A. Batalin, Peter M. Lavrov
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