Results 11 to 20 of about 33 (33)
Pentagonal quasigroups, their translatability and parastrophes
Open Mathematics, 2021 Any pentagonal quasigroup QQ is proved to have the product xy=φ(x)+y−φ(y)xy=\varphi \left(x)+y-\varphi (y), where (Q,+)\left(Q,+) is an Abelian group, φ\varphi is its regular automorphism satisfying φ4−φ3+φ2−φ+ε=0{\varphi }^{4}-{\varphi }^{3}+{\varphi }^
Dudek Wieslaw A., Monzo Robert A. R.
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Fibonacci sequences in groupoids [PDF]
, 2012 In this article, we consider several properties of Fibonacci sequences in arbitrary groupoids (i.e., binary systems). Such sequences can be defined in a left-hand way and a right-hand way.
Jeong Soon Han +5 more
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Associativity of the Commutator Operation in Groups [PDF]
, 2009 The study of associativity of the commutator operation in groups goes back to the work of F. W. Levi in 1942. In the 1960’s Richard J. Thompson created a group F whose elements are representatives of the generalized associative law for an arbitrary ...
Guzmán, Fernando
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Discussiones Mathematicae - General Algebra and Applications, 2017 In this paper, the notion of a QI-algebra is introduced which is a generalization of a BI-algebra and there are studied its properties. We considered ideals, congruence kernels in a QI-algebra and characterized congruence kernels whenever a QI-algebra is
Bandaru Ravi Kumar
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Translatability and translatable semigroups
Open Mathematics, 2018 The concept of a k-translatable groupoid is explored in depth. Some properties of idempotent k-translatable groupoids, left cancellative k-translatable groupoids and left unitary k-translatablegroupoids are proved. Necessary and sufficient conditions are
Dudek Wieslaw A., Monzo Robert A. R.
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 In this paper, we introduce a new algebra, called a BI-algebra, which is a generalization of a (dual) implication algebra and we discuss the basic properties of BI-algebras, and investigate ideals and congruence relations.
Saeid Arsham Borumand +2 more
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Fuzzy soft set approach to ideal theory of regular AG-groupoids
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 This paper aims to apply fuzzy sets and soft sets in combination to investigate algebraic properties of regular AG-groupoids. We initiate (∈γ; ∈γ qδ)-fuzzy soft left ideals (right ideals, bi-ideals and quasi-ideals) over AG-groupoids and explore some ...
Feng Feng +4 more
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Verification of Identities [PDF]
, 1997 We provide an O(n 2 log 1 ffi ) time randomized algorithm to check whether a given operation f : S \Theta S ! S is associative (where n = jSj and ffi is the error probability of the algorithm).
Leonard J. Schulman, Sridhar Rajagopalan
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Fuzzy rank functions in the set of all binary systems. [PDF]
Springerplus, 2016 Kim HS, Neggers J, So KS.
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Distributive implication groupoids
Open Mathematics, 2007 Chajda Ivan, Halaš Radomir
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