Results 111 to 120 of about 3,309 (193)
A Note on the Quasigroup of Lai–Massey Structures
CryptographyIn our paper, we explore the consequences of replacing the commutative group operation used in Lai–Massey structures with a quasigroup operation. We introduce four quasigroup versions of the Lai–Massey structure and prove that for quasigroups isotopic ...
George Teşeleanu
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A Lightweight block cipher based on quasigroups [PDF]
, 2017 Yaohui Zhao, Yunqing Xu
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The Generalized Equations of Bisymmetry Associativity and Transitivity on Quasigroups [PDF]
, 1972 Mark Taylor
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Nilpotent algebras, implicit function theorem, and polynomial quasigroups [PDF]
, 2022 Yuri Bahturin, Alexander Olshanskii
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Sub-quasigroups of finite quasigroups [PDF]
Pacific Journal of Mathematics, 1957 openaire +2 more sources
Journal of Algebra, 2016 A quantum quasigroup is a family \((A,\nabla,\Delta)\), where \((A,\nabla)\) is a magma in a given symmetric monoidal category, \((A,\Delta)\) is a comagma in the same category, such that the compositions \((\Delta\otimes 1_A)\circ(1_A\otimes\nabla)\) and \((1_A\otimes\Delta)(\nabla\otimes 1_A)\) are invertible.
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Varieties of Hexagonal Quasigroups
Journal of Algebra, 1993 The decomposition of a complete graph into disjoint cycles can be used to define a binary operation \(\star\) on the vertices of the graph -- if a cycle is \((\dots, a, b, c, \dots)\) then \(a \star b = c\) and \(c \star b = a\). In general the groupoid thus obtained is not a quasigroup, but when the decomposition satisfies an extra condition, known as
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Graph decomposition and quasigroup identities
Le Matematiche, 1990 See directly the article.
Curt Lindner
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The number of labeled n-ary abelian groups and totally symmetric medial quasigroups [PDF]
, 2023 Ben Young +2 more
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