Question

Why do we have $s.\chi_x=\chi_x$ implies that $s(x)=x u$ for some $u \in \mathfrak{C}^{*, 0}$ in an inverse semigroup?

score 37 · Answer 1 · 2026-03-25 04:41:35

37

Views

Why do we have $s.\chi_x=\chi_x$ implies that $s(x)=x u$ for some $u \in \mathfrak{C}^{*, 0}$ in an inverse semigroup?

Published on 25 Mar 2026 - 4:41

score 62 · Answer 2 · 2026-03-25 06:11:54

62

Views

Schutzenberger graphs of an Inverse Semigroup?

Published on 25 Mar 2026 - 6:11

score 812 · Answer 3 · 2026-03-25 06:11:05

812

Views

Do the idempotents in an inverse semigroup commute?

Published on 25 Mar 2026 - 6:11

score 75 · Answer 4 · 2026-04-01 13:19:51

75

Views

Left and Right Inverses with semigroups

Published on 01 Apr 2026 - 13:19

score 121 · Answer 5 · 2026-04-01 10:21:27

121

Views

Congruence on inverse semigroup

Published on 01 Apr 2026 - 10:21

score 218 · Answer 6 · 2026-03-27 15:04:26

218

Views

D-classes in an inverse semigroup are ‘square’.

Published on 27 Mar 2026 - 15:04

score 207 · Answer 7 · 2026-05-02 00:43:41

207

Views

S an inverse semigroup with semilattice of idempotents E and $\sigma$ the minimum group congruence on S.

Published on 02 May 2026 - 0:43

score 167 · Answer 8 · 2026-04-17 07:49:46

167

Views

GAP tells this semigroup is not a group.

Published on 17 Apr 2026 - 7:49

score 69 · Answer 9 · 2016-03-28 03:41:57

69

Views

Generators and relations of symmetric inverse semigroup $I_{3}$

Published on 28 Mar 2016 - 3:41

score 79 · Answer 10 · 2026-03-07 11:00:41

79

Views

How is $ss^{-1}$ idempotent in an inverse monoid?

Published on 07 Mar 2026 - 11:00

score 107 · Answer 11 · 2026-03-25 06:09:38

107

Views

Please check my solution, inverse semigroups.

Published on 25 Mar 2026 - 6:09

score 271 · Answer 12 · 2026-03-25 06:13:11

271

Views

Is the set of all uniquely invertible elements of a semigroup an inverse subsemigroup?

Published on 25 Mar 2026 - 6:13

score 176 · Answer 13 · 2026-03-25 06:13:27

176

Views

Is there a name for the generalization of the concept "Abelian group" where the axiom $-x+x = 0$ is weakened to the following?

Published on 25 Mar 2026 - 6:13

score 946 · Answer 14 · 2026-05-07 00:36:31

946

Views

Definition of groups

Published on 07 May 2026 - 0:36

score 73 · Answer 15 · 2026-04-23 22:12:39

73

Views

Showing $|\mathcal{I}_X|=\sum_{r=0}^n{n \choose r}^2r!$.

Published on 23 Apr 2026 - 22:12

List Question

Why do we have $s.\chi_x=\chi_x$ implies that $s(x)=x u$ for some $u \in \mathfrak{C}^{*, 0}$ in an inverse semigroup?

Schutzenberger graphs of an Inverse Semigroup?

Do the idempotents in an inverse semigroup commute?

Left and Right Inverses with semigroups

Congruence on inverse semigroup

D-classes in an inverse semigroup are ‘square’.

S an inverse semigroup with semilattice of idempotents E and $\sigma$ the minimum group congruence on S.

GAP tells this semigroup is not a group.

Generators and relations of symmetric inverse semigroup $I_{3}$

How is $ss^{-1}$ idempotent in an inverse monoid?

Please check my solution, inverse semigroups.

Is the set of all uniquely invertible elements of a semigroup an inverse subsemigroup?

Is there a name for the generalization of the concept "Abelian group" where the axiom $-x+x = 0$ is weakened to the following?

Definition of groups

Showing $|\mathcal{I}_X|=\sum_{r=0}^n{n \choose r}^2r!$.

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