Quasigroups
type: Item
instance of: scholarly article
title: Quasigroups
zbMATH Open document ID: 0697.20050
DOI: 10.1007/BF02133175
author: V. M. Galkin
published in: Journal of Soviet Mathematics
publication date: 1990-01-01T00:00:00Z
review text: See the review in Zbl 0675.20057.
Mathematics Subject Classification ID: 20N05
zbMATH DE Number: 4142333
zbMATH Keywords: survey
zbMATH Keywords: Moufang loops
zbMATH Keywords: Bol loops
zbMATH Keywords: left distributive quasigroups
zbMATH Keywords: inverse property loops
MaRDI profile type: Publication
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cites work: Sylow properties of a class of quasigroups
cites work: On symmetric quasigroups
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cites work: Analytic Moufang loops in the large
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cites work: Examples of some quasigroups and loops admitting only discrete topologization
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Quasigroups (cites work)
cites work: Inverse-Cycles in Weak-Inverse Loops

Quasigroups (cites work)
cites work: A note on loops

Quasigroups (cites work)
cites work: Induced topologies for quasigroups and loops

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Quasigroups (cites work)
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Quasigroups (cites work)
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Quasigroups (cites work)
cites work: Free commutative Moufang loops and anticommutative graded rings

Quasigroups (cites work)
cites work: Ordre minimum des boucles de Moufang commutatives de classe 2 (Resp. 3)

Quasigroups (cites work)
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Quasigroups (cites work)
cites work: L'irreductibilité centrale dans les boucles de Moufang commutatives et dans les systèmes triples de Hall

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cites work: Quelques consequences de la locale nilpotence des boucles de moufang commutatives

Quasigroups (cites work)
cites work: 3-Abelian groups and commutative Moufang loops

Quasigroups (cites work)
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Quasigroups (cites work)
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Quasigroups (cites work)
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Quasigroups (cites work)
cites work: On the spectrum of Stein quasigroups

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cites work: Self-orthogonal semisymmetric quasigroups

Quasigroups (cites work)
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Quasigroups (cites work)
cites work: Principal Loop-Isotopes of Quasigroups

Quasigroups (cites work)
cites work: Finite Bol loops

Quasigroups (cites work)
cites work: Finite Bol loops II

Quasigroups (cites work)
cites work: Finite Bol loops: III

Quasigroups (cites work)
cites work: Q4200998

Quasigroups (cites work)
cites work: ON WEAK ASSOCIATIVE LAWS IN COMMUTATIVE IP-LOOPS

Quasigroups (cites work)
cites work: The smallest Moufang loop

Quasigroups (cites work)
cites work: Lagrange's theorem for M\(_k\)-loops

Quasigroups (cites work)
cites work: Moufang Loops of Small Order. I

Quasigroups (cites work)
cites work: Moufang loops of small order

Quasigroups (cites work)
cites work: A short note on supernuclear (central) elements of inverse property loops

Quasigroups (cites work)
cites work: On maps \(x \to x^ n\) and the isotopy-isomorphy property of Moufang loops

Quasigroups (cites work)
cites work: An "Extra" Law for Characterizing Moufang Loops

Quasigroups (cites work)
cites work: ON SCHREIER EXTENSION OF LOOPS

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cites work: Q3877879

Quasigroups (cites work)
cites work: Simple Moufang loops

Quasigroups (cites work)
cites work: Q3752581

Quasigroups (cites work)
cites work: Quasigroups determined by balanced identities of length $\leqq6$

Quasigroups (cites work)
cites work: Q3940005

Quasigroups (cites work)
cites work: Lattice-ordered loops and quasigroups

Quasigroups (cites work)
cites work: Q5559571

Quasigroups (cites work)
cites work: Q5625475

Quasigroups (cites work)
cites work: Q3922854

Quasigroups (cites work)
cites work: Q3310837

Quasigroups (cites work)
cites work: Q3337668

Quasigroups (cites work)
cites work: Q3699029

Quasigroups (cites work)
cites work: Q3969126

Quasigroups (cites work)
cites work: A remark on commutative di-associative loops

Quasigroups (cites work)
cites work: On loops of odd order

Quasigroups (cites work)
cites work: On loops of odd order. II

Quasigroups (cites work)
cites work: Nilpotence of finite Moufang 2-loops

Quasigroups (cites work)
cites work: Q3949210

Quasigroups (cites work)
cites work: A Class of Loops Which are Isomorphic to all Loop Isotopes

Quasigroups (cites work)
cites work: Integrally Closed and Complete Ordered Quasigroups and Loops

Quasigroups (cites work)
cites work: The Akivis algebra of a homogeneous loop

Quasigroups (cites work)
cites work: Q4132769

Quasigroups (cites work)
cites work: On multiplication groups of quasigroups

Quasigroups (cites work)
cites work: Q5542132

Quasigroups (cites work)
cites work: Q4161893

Quasigroups (cites work)
cites work: Construction of commutative weak inverse property loops of most orders

Quasigroups (cites work)
cites work: Q3898688

Quasigroups (cites work)
cites work: Characters of finite quasigroups

Quasigroups (cites work)
cites work: On Weak Inverse Property Loops

Quasigroups (cites work)
cites work: ON INVERSE PROPERTY LOOPS

Quasigroups (cites work)
cites work: Q4123535

Quasigroups (cites work)
cites work: Q5662151

Quasigroups (cites work)
cites work: On one class of quasigroups

Quasigroups (cites work)
cites work: Q4106796

Quasigroups (cites work)
cites work: Structure of weakly abelian quasigroups

Quasigroups (cites work)
cites work: Q4161513

Quasigroups (cites work)
cites work: Q4150473

Quasigroups (cites work)
cites work: $F$-quasigroups isotopic to Moufang loops

Quasigroups (cites work)
cites work: Q4163694

Quasigroups (cites work)
cites work: Q3881033

Quasigroups (cites work)
cites work: Q3676363

Quasigroups (cites work)
cites work: Q3754194

Quasigroups (cites work)
cites work: Commutative Moufang loops and distributive groupoids of small orders

Quasigroups (cites work)
cites work: Q5516025

Quasigroups (cites work)
cites work: Q5665315

Quasigroups (cites work)
cites work: Construction of Quasigroups Satisfying the Identity X(XY) = YX

Quasigroups (cites work)
cites work: The Generalized Singular Direct Product for Quasigroups

Quasigroups (cites work)
cites work: Construction of Quasigroups Using the Singular Direct Product

Quasigroups (cites work)
cites work: Construction of n-cyclic quasi-groups and applications

Quasigroups (cites work)
cites work: On the construction of Schroeder quasigroups

Quasigroups (cites work)
cites work: On the number of conjugates of a quasigroup

Quasigroups (cites work)
cites work: Q4132765

Quasigroups (cites work)
cites work: Q4196611

Quasigroups (cites work)
cites work: The smallest non-derived Steiner triple system is simple as a loop

Quasigroups (cites work)
cites work: Q3926646

Quasigroups (cites work)
cites work: Q3880887

Quasigroups (cites work)
cites work: Bol loops of order pq

Quasigroups (cites work)
cites work: Q5515389

Quasigroups (cites work)
cites work: Inverse Loops as Groupoids with One Law

Quasigroups (cites work)
cites work: When Is a Totally Symmetric Loop a Group?

Quasigroups (cites work)
cites work: Stein quasigroups I: Combinatorial aspects

Quasigroups (cites work)
cites work: Stein quasigroups II: algebraic aspects

Quasigroups (cites work)
cites work: A Special Class of Moufang Loops

Quasigroups (cites work)
cites work: On self-adjoint subloops of moufang loops

Quasigroups (cites work)
cites work: Conjugate orthogonal quasigroups

Quasigroups (cites work)
cites work: Q3335962

Quasigroups (cites work)
cites work: A class of non-Moufang Bol loops isomorphic to all their loop isotopes

Quasigroups (cites work)
cites work: Q5664121

Quasigroups (cites work)
cites work: Q5685314

Quasigroups (cites work)
cites work: A special embedding of Bol loops in groups

Quasigroups (cites work)
cites work: Q3049026

Quasigroups (cites work)
cites work: Q3894133

Quasigroups (cites work)
cites work: Q3953989

Quasigroups (cites work)
cites work: Hall triple systems and commutative Moufang exponent 3 loops: The case of nilpotence class 2

Quasigroups (cites work)
cites work: Q5538993

Quasigroups (cites work)
cites work: Quasigroupes demi‐symétriques. Isotopies préservant la demi‐symétrie

Quasigroups (cites work)
cites work: On Quotient Loops of Normal Subloops

Quasigroups (cites work)
cites work: Q3969127

Quasigroups (cites work)
cites work: Q4095086

Quasigroups (cites work)
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Quasigroups (cites work)
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Quasigroups (cites work)
cites work: Left Loops which Satisfy the Left Bol Identity

Quasigroups (cites work)
cites work: Q4165524

Quasigroups (cites work)
cites work: Bol loops of order \(p^ n\) (\(n\geq 3\), \(p\geq 2\))

Quasigroups (cites work)
cites work: Q3889286

Quasigroups (cites work)
cites work: Q4132763

Quasigroups (cites work)
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Quasigroups (cites work)
cites work: Q3741812

Quasigroups (cites work)
cites work: On affine planes over \(A_n^k\)-quasigroups

Quasigroups (cites work)
cites work: Finite distributive quasigroups

Quasigroups (cites work)
cites work: On the nilpotence class of commutative Moufang loops

Quasigroups (cites work)
cites work: A second grammar of associators

Quasigroups (cites work)
cites work: Commutative Moufang loops and Bessel functions

Quasigroups (cites work)
cites work: Q3712495

Quasigroups (cites work)
cites work: Q3344151

Quasigroups (cites work)
cites work: Q3315708

Quasigroups (cites work)
cites work: Q3344150

Quasigroups (cites work)
cites work: Q3335963

Quasigroups (cites work)
cites work: Construction of Steiner quasigroups containing a specified number of subquasigroups of a given order

Quasigroups (cites work)
cites work: Q4072439

Quasigroups (cites work)
cites work: Differenzierbare distributive Quasigruppen

Quasigroups (cites work)
cites work: Q4083733

Quasigroups (cites work)
cites work: Q4083734

Quasigroups (cites work)
cites work: A Generalization of a Theorem of Belousov

Quasigroups (cites work)
cites work: Q4065949

Quasigroups (cites work)
cites work: A Class of Loops with the Isotopy-Isomorphy Property

Quasigroups (cites work)
cites work: Isotopy-isomorphy loops of prime order

Quasigroups (cites work)
cites work: Quasidirect products of quasigroups

Quasigroups (cites work)
cites work: On the multiplication group of a loop

Quasigroups (cites work)
cites work: Q4046287

Quasigroups (full work available at URL)
full work available at URL: https://doi.org/10.1007/bf02133175

Quasigroups (OpenAlex ID)
OpenAlex ID: W4211114482