Question

Prove that there are no idempotent, commutative quasigroups of even order.

score 347 · Answer 1 · 2020-03-28 12:13:18

347

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Prove that there are no idempotent, commutative quasigroups of even order.

Published on 28 Mar 2020 - 12:13

score 93 · Answer 2 · 2020-05-11 19:19:12

93

Views

Is there any name for this property of quasigroups: $x \times (y \times (z \times t)) = (x \times y) \times (t \times z)?$

Published on 11 May 2020 - 19:19

score 606 · Answer 3 · 2020-07-26 17:04:39

606

Views

What is the difference between quasigroup with associativity and semigroup with inverse?

Published on 26 Jul 2020 - 17:04

score 111 · Answer 4 · 2016-12-29 19:10:51

111

Views

Prove that a map is not quasi-isometric embedding

Published on 29 Dec 2016 - 19:10

score 98 · Answer 5 · 2017-01-10 21:56:05

98

Views

Composition Law to make a Quasigroup

Published on 10 Jan 2017 - 21:56

score 30 · Answer 6 · 2023-06-05 19:27:49

30

Views

Salzmann's topological loop example

Published on 05 Jun 2023 - 19:27

score 52 · Answer 7 · 2023-07-25 19:27:14

52

Views

Term for a Set Equipped With a Binary Operation Which Contains Inverses

Published on 25 Jul 2023 - 19:27

score 981 · Answer 8 · 2015-02-12 13:30:49

981

Views

What are the commutative quasigroups satisfying $a/b=b/a$?

Published on 12 Feb 2015 - 13:30

score 753 · Answer 9 · 2015-04-02 06:31:48

753

Views

The unique loop (quasigroup with unit) $L$ of order $5$ satisfying $x^2 = 1$ for all $x \in L$

Published on 02 Apr 2015 - 6:31

score 110 · Answer 10 · 2015-04-03 19:36:39

110

Views

What is the meaning of division for quasigroups in here?

Published on 03 Apr 2015 - 19:36

score 835 · Answer 11 · 2015-04-19 10:30:24

835

Views

Looking for examples of finite loops and monoids

Published on 19 Apr 2015 - 10:30

score 148 · Answer 12 · 2015-08-09 11:17:44

148

Views

A familiar quasigroup - about independent axioms

Published on 09 Aug 2015 - 11:17

score 110 · Answer 13 · 2015-08-11 00:08:54

110

Views

A simple question about rational numbers without a simple proof?

Published on 11 Aug 2015 - 0:08

score 127 · Answer 14 · 2016-02-06 03:35:34

127

Views

Does every non-empty quasigroup have a left or right identity?

Published on 06 Feb 2016 - 3:35

score 131 · Answer 15 · 2016-03-25 05:35:18

131

Views

If $H$ is a subloop of a finte loop $L$ and $N$ is a normal subloop of $L$, then $HN$ is a subloop of $L$.

Published on 25 Mar 2016 - 5:35

List Question

Prove that there are no idempotent, commutative quasigroups of even order.

Is there any name for this property of quasigroups: $x \times (y \times (z \times t)) = (x \times y) \times (t \times z)?$

What is the difference between quasigroup with associativity and semigroup with inverse?

Prove that a map is not quasi-isometric embedding

Composition Law to make a Quasigroup

Salzmann's topological loop example

Term for a Set Equipped With a Binary Operation Which Contains Inverses

What are the commutative quasigroups satisfying $a/b=b/a$?

The unique loop (quasigroup with unit) $L$ of order $5$ satisfying $x^2 = 1$ for all $x \in L$

What is the meaning of division for quasigroups in here?

Looking for examples of finite loops and monoids

A familiar quasigroup - about independent axioms

A simple question about rational numbers without a simple proof?

Does every non-empty quasigroup have a left or right identity?

If $H$ is a subloop of a finte loop $L$ and $N$ is a normal subloop of $L$, then $HN$ is a subloop of $L$.

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