Results 121 to 130 of about 4,967 (212)
, 2015 Parastrophes (conjugates) of a quasigroup can be divided into separate classes containing isotopic parastrophes. We prove that the number of such classes is always 1, 2, 3 or 6. Next we characterize quasigroups having a fixed number of such classes.
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Isomorphisms of quadratic quasigroups [PDF]
, 2023 Aleš Drápal, Ian M. Wanless
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Nilpotent algebras, implicit function theorem, and polynomial quasigroups [PDF]
, 2022 Yuri Bahturin, Alexander Olshanskii
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Existence of an invariant measure on a topological quasigroup
, 2020 S. Ludkovsky
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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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Rota–Baxter Operators on Skew Braces
MathematicsIn this paper, we introduce the concept of Rota–Baxter skew braces, and provide classifications of Rota–Baxter operators on various skew braces, such as (Z,+,∘) and (Z/(4),+,∘).
Ximu Wang +2 more
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An algorithm for judging and generating multivariate quadratic quasigroups over Galois fields. [PDF]
Springerplus, 2016 Zhang Y, Zhang H.
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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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Abelian quasigroups and T-quasigroups
, 1994 By means of known results with respect to algebras of a congruence modular variety it is proved that abelian in the sense of McKenzie quasigroups, i.e. quasigroups coinciding with their centre, are T-quasigroups and conversely.
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