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 188 · Answer 1 · 2026-04-14 17:09:43

188

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 14 Apr 2026 - 17:09

score 353 · Answer 2 · 2026-04-12 14:22:14

353

Views

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

Published on 12 Apr 2026 - 14:22

score 457 · Answer 3 · 2026-04-17 07:00:47

457

Views

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

Published on 17 Apr 2026 - 7:00

score 97 · Answer 4 · 2026-05-10 13:31:00

97

Views

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

Published on 10 May 2026 - 13:31

score 404 · Answer 5 · 2026-05-10 19:32:48

404

Views

Commutative subtraction

Published on 10 May 2026 - 19:32

score 112 · Answer 6 · 2026-04-11 04:25:28

112

Views

Inverse of a product in semigroup

Published on 11 Apr 2026 - 4:25

score 246 · Answer 7 · 2026-04-16 21:02:55

246

Views

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

Published on 16 Apr 2026 - 21:02

score 843 · Answer 8 · 2026-04-12 17:48:27

843

Views

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

Published on 12 Apr 2026 - 17:48

score 85 · Answer 9 · 2026-05-10 11:19:06

85

Views

About monoid homomorphism

Published on 10 May 2026 - 11:19

score 108 · Answer 10 · 2026-04-16 09:17:57

108

Views

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

Published on 16 Apr 2026 - 9:17

score 141 · Answer 11 · 2026-04-13 06:09:23

141

Views

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

Published on 13 Apr 2026 - 6:09

score 31 · Answer 12 · 2026-04-13 23:30:02

31

Views

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

Published on 13 Apr 2026 - 23:30

score 118 · Answer 13 · 2026-04-12 22:51:16

118

Views

Semigroup and their monogenic semigroup

Published on 12 Apr 2026 - 22:51

score 79 · Answer 14 · 2026-05-03 23:58:01

79

Views

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

Published on 03 May 2026 - 23:58

score 626 · Answer 15 · 2026-04-10 21:42:25

626

Views

Semigroups with no morphisms between them

Published on 10 Apr 2026 - 21:42

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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