Question

If there exists $m,n\geq2$ such that $x^{m}y^{n}=yx$, for any $x,y\in M$, then prove that the operation is commutative

score 186 · Answer 1 · 2019-03-06 19:19:20

186

Views

If there exists $m,n\geq2$ such that $x^{m}y^{n}=yx$, for any $x,y\in M$, then prove that the operation is commutative

Published on 06 Mar 2019 - 19:19

score 350 · Answer 2 · 2019-03-11 17:27:33

350

Views

Is a semigroup with left identity und unique left inverse a group?

Published on 11 Mar 2019 - 17:27

score 454 · Answer 3 · 2019-03-13 14:11:11

454

Views

Let $G$ be a finite semigroup .Prove that there exist $x\in G $ such that $x^2=x$

Published on 13 Mar 2019 - 14:11

score 93 · Answer 4 · 2019-03-15 17:54:23

93

Views

Show that $x^{mn}=x^{m}$

Published on 15 Mar 2019 - 17:54

score 394 · Answer 5 · 2026-03-23 03:11:46

394

Views

Commutative subtraction

Published on 23 Mar 2026 - 3:11

score 109 · Answer 6 · 2019-03-22 10:53:50

109

Views

Inverse of a product in semigroup

Published on 22 Mar 2019 - 10:53

score 243 · Answer 7 · 2019-03-22 18:11:25

243

Views

Showing ((a1 ⋄ a2) ⋄ a3) ⋄ a4 = a1 ⋄ (a2 ⋄ (a3 ⋄ a4)) in a semigroup.

Published on 22 Mar 2019 - 18:11

score 840 · Answer 8 · 2019-03-26 15:41:02

840

Views

Is a semigroup with unique right identity and left inverse a group?

Published on 26 Mar 2019 - 15:41

score 76 · Answer 9 · 2026-03-21 21:49:58

76

Views

About monoid homomorphism

Published on 21 Mar 2026 - 21:49

score 105 · Answer 10 · 2019-03-28 13:02:29

105

Views

$G$ a set. When does a pair of subgroups of $\operatorname{Sym}(G)$ define "some" left and right multiplications?

Published on 28 Mar 2019 - 13:02

score 138 · Answer 11 · 2019-04-03 16:57:57

138

Views

Does every commutative idempotent semigroup have a representation as a union-closed family of sets

Published on 03 Apr 2019 - 16:57

score 28 · Answer 12 · 2019-04-08 21:04:55

28

Views

Question about a near $\Bbb{Z}$-semimodule that has trivial addition.

Published on 08 Apr 2019 - 21:04

score 116 · Answer 13 · 2019-04-13 03:36:46

116

Views

Semigroup and their monogenic semigroup

Published on 13 Apr 2019 - 3:36

score 73 · Answer 14 · 2026-03-19 18:26:54

73

Views

Equal nr of $\mathscr D$-classes, different nr of idempotents

Published on 19 Mar 2026 - 18:26

score 623 · Answer 15 · 2019-04-19 18:08:13

623

Views

Semigroups with no morphisms between them

Published on 19 Apr 2019 - 18:08

List Question

If there exists $m,n\geq2$ such that $x^{m}y^{n}=yx$, for any $x,y\in M$, then prove that the operation is commutative

Is a semigroup with left identity und unique left inverse a group?

Let $G$ be a finite semigroup .Prove that there exist $x\in G $ such that $x^2=x$

Show that $x^{mn}=x^{m}$

Commutative subtraction

Inverse of a product in semigroup

Showing ((a1 ⋄ a2) ⋄ a3) ⋄ a4 = a1 ⋄ (a2 ⋄ (a3 ⋄ a4)) in a semigroup.

Is a semigroup with unique right identity and left inverse a group?

About monoid homomorphism

$G$ a set. When does a pair of subgroups of $\operatorname{Sym}(G)$ define "some" left and right multiplications?

Does every commutative idempotent semigroup have a representation as a union-closed family of sets

Question about a near $\Bbb{Z}$-semimodule that has trivial addition.

Semigroup and their monogenic semigroup

Equal nr of $\mathscr D$-classes, different nr of idempotents

Semigroups with no morphisms between them

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