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 61 · Answer 2 · 2023-12-20 17:53:17

61

Views

Schutzenberger graphs of an Inverse Semigroup?

Published on 20 Dec 2023 - 17:53

score 811 · Answer 3 · 2015-01-06 18:24:30

811

Views

Do the idempotents in an inverse semigroup commute?

Published on 06 Jan 2015 - 18:24

score 73 · Answer 4 · 2015-05-29 23:05:22

73

Views

Left and Right Inverses with semigroups

Published on 29 May 2015 - 23:05

score 119 · Answer 5 · 2015-08-18 20:01:30

119

Views

Congruence on inverse semigroup

Published on 18 Aug 2015 - 20:01

score 217 · Answer 6 · 2015-12-17 19:52:51

217

Views

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

Published on 17 Dec 2015 - 19:52

score 205 · Answer 7 · 2015-12-19 16:02:56

205

Views

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

Published on 19 Dec 2015 - 16:02

score 165 · Answer 8 · 2016-03-20 13:26:15

165

Views

GAP tells this semigroup is not a group.

Published on 20 Mar 2016 - 13:26

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 106 · Answer 11 · 2013-07-04 05:58:26

106

Views

Please check my solution, inverse semigroups.

Published on 04 Jul 2013 - 5:58

score 270 · Answer 12 · 2013-11-06 22:03:09

270

Views

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

Published on 06 Nov 2013 - 22:03

score 175 · Answer 13 · 2014-03-03 11:13:28

175

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 03 Mar 2014 - 11:13

score 927 · Answer 14 · 2026-03-24 12:15:53

927

Views

Definition of groups

Published on 24 Mar 2026 - 12:15

score 71 · Answer 15 · 2017-05-01 15:43:00

71

Views

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

Published on 01 May 2017 - 15:43

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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