List questions from quasigroups

Published on 18 Feb 2021 - 16:31

120

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An example of an algebraic loop which has different L and R inverses?

Published on 25 Feb 2021 - 22:34

42

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Example of a pair of non-isomorphic quasi-groups with parastrophic Latin squares?

Published on 31 May 2021 - 20:32

197

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Inverse element of a magma

Published on 26 Jun 2021 - 22:34

82

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Is there a proof that the total number of idempotent elements over all quasigroups of order n equals the number of quasigroups of that order?

Published on 04 Sep 2021 - 11:09

79

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Why is the formal definition of Latin square equivalent with the informal?

Published on 27 Sep 2021 - 8:21

143

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Do the Moufang identities themselves imply diassociativity / Moufang's theorem / Artin's theorem?

Published on 14 Oct 2021 - 15:33

68

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Can $S^2$ be given a (semi-)topological quasigroup structure?

Published on 03 Nov 2021 - 19:15

38

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Matrix representation of Quasigroups

Published on 26 Dec 2021 - 14:18

78

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Uniqueness of quotients in semigroup with divisibility?

Published on 31 Jan 2022 - 21:32

88

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References to for Quasigroup Theory

Published on 16 Apr 2022 - 12:31

99

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How can a quasigroup have a division operation if a group has only one operation?

Published on 06 May 2022 - 0:14

46

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Can we characterize the “associate classes” of a unipotent quasi-commutative quasigroup as some combinatorial design?

Published on 02 Oct 2022 - 5:19

List Question

Suspicious diagrams on wiki about group-like structures

An example of an algebraic loop which has different L and R inverses?

Example of a pair of non-isomorphic quasi-groups with parastrophic Latin squares?

Inverse element of a magma

Is there a proof that the total number of idempotent elements over all quasigroups of order n equals the number of quasigroups of that order?

Why is the formal definition of Latin square equivalent with the informal?

Do the Moufang identities themselves imply diassociativity / Moufang's theorem / Artin's theorem?

Can $S^2$ be given a (semi-)topological quasigroup structure?

Matrix representation of Quasigroups

Uniqueness of quotients in semigroup with divisibility?

References to for Quasigroup Theory

How can a quasigroup have a division operation if a group has only one operation?

Can we characterize the “associate classes” of a unipotent quasi-commutative quasigroup as some combinatorial design?

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