Results 1 to 10 of about 37 (37)

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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Order of Finite Soft Quasigroups with Application to Egalitarianism

Discussiones Mathematicae - General Algebra and Applications, 2022
In this work, a soft set (F, A) was introduced over a quasigroup (Q,) and the study of finite soft quasigroup was carried out, motivated by the study of algebraic structures of soft sets.
Oyem A., Jaiyéọlá T.G., Olaleru J.O.
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Loop of formal diffeomorphisms and Fàa di Bruno coloop bialgebra [PDF]

, 2019
International audienceWe consider a generalization of (pro)algebraic loops defined on general categories of algebras and the dual notion of a coloop bialgebra suitable to represent them as functors.
Frabetti, Alessandra, Ivan P. Shestakov, Alessandra Frabetti, Shestakov, Ivan, P, Shestakov, Ivan,   +4 more
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Algebraic loop structures on algebra comultiplications

Open Mathematics, 2019
In this paper, we study the algebraic loop structures on the set of Lie algebra comultiplications. More specifically, we investigate the fundamental concepts of algebraic loop structures and the set of Lie algebra comultiplications which have inversive ...
Lee Dae-Woong
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Schauffler-Like Theorems for Medial and Paramedial Algebras

, 2023
In [1], The endolinearity of regular division binary algebras satisfying second-order associativity identities was shown. Furthermore, schaufler- like theorems were proven for these algebras.
Dr. D. N. Harutyunyan,
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On the gyrodistance between orthogonal gyrolinear combinations in the Möbius gyrovector space

Open Mathematics
We present a novel identity for norms related to gyroaddition of four elements which satisfy some orthogonal conditions in the Möbius gyrovector space.
Watanabe Keiichi
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Bipolar Fuzzy n-Fold Positive Implicative and Fantastic Filters in Hoop Algebras with Applications to Fuzzy Logic

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
In this paper, we introduce and study the notion of bipolar fuzzy n-fold positive implicative filters within the framework of hoop algebras, and examine their fundamental properties.
Bordbar Hashem, Oner Tahsin, Rajesh Neelamegarajan, Bandaru Ravikumar, Ates Firat   +4 more
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Uniform spaces, coarse spaces, dilation spaces

, 2020
WARNING: WORKING VERSION, NOT FINAL, THANKS FOR COMMENTS.
Marius Buliga
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© Hindawi Publishing Corp. COMBINATORIAL POLARIZATION, CODE LOOPS, AND CODES OF HIGH LEVEL

, 2003
We first find the combinatorial degree of any map f: V → F, whereF is a finite field and V is a finite-dimensional vector space over F. We then simplify and generalize a certain construction, due to Chein and Goodaire, that was used in characterizing ...
Petr Vojtěchovský
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Moufang unit loops torsion over their centres

, 2004
Let L be an RA loop, that is, a loop whose loop ring in any characteristic is an alternative, but not associative, ring. We find necessary and sufficient conditions for the (Moufang) unit loop of RL to be torsion over its centre when R is the ring of ...
Goodaire, Edgar G., Milies, César Polcino   +1 more
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