Results 1 to 10 of about 1,998 (160)
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
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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, Wang Shuanhong
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On Birkhoff's quasigroup axioms
Journal of Algebra, 2016 Quasigroups form a variety only if two additional operations, namely \(/\) and \(\backslash\) are considered. Birkhoff formulated six identities that define equationally the variety of quasigroups. Evans proved that only the most natural four identities are needed.
J. Phillips +3 more
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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 +3 more
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Distributive Properties of Q−neutrosophic Soft Quasigroups [PDF]
Neutrosophic Sets and Systems, 2023 The Q−neutrosophic soft quasigroup is a mathematical innovation for dealing with indeterminate occurrences. The characterization of quasigroups using the concept of Q−neutrosophic soft set is an evolving area of study that, in recent times, has attracted
Oyobo Tunde Yakub +2 more
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P℘N functions, complete mappings and quasigroup difference sets [PDF]
Journal of combinatorial designs (Print), 2022 We investigate pairs of permutations F , G $F,G$ of F p n ${{\mathbb{F}}}_{{p}^{n}}$ such that F(x + a ) − G( x ) $F(x+a)-G(x)$ is a permutation for every a ∈ F p n $a\in {{\mathbb{F}}}_{{p}^{n}}$ . We show that, in that case, necessarily G( x ) = ℘(F( x
Nurdagül Anbar +4 more
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A computational approach to analyze the Hadamard quasigroup product
Electronic Research Archive, 2023 Based on the binary product described by any Latin square, the Hadamard quasigroup product is introduced in this paper as a natural generalization of the classical Hadamard product of matrices. The successive iteration of this new product is endowed with
Raúl M. Falcón +5 more
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Identities and generalized derivatives of quasigroups [PDF]
Computer Science Journal of Moldova, 2022 We associate a partial (autostrophical) identity with every generalized derivative. We research when a quasigroup that satisfies an autostrophic identity has a unit (left or/and right or/and middle).
G. Horosh +3 more
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A new quasigroup isomorphism invariant arising from fractal image patterns
Quasigroups And Related Systems, 2023 The analysis and recognition of fractal image patterns derived from Cayley tables has turned out to play a relevant role for distributing distinct types of algebraic and combinatorial structures into isomorphism classes.
Raúl M. Falcón
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