Question

Is inverse sufficient for a semigroup to be a group?

score 72 · Answer 1 · 2016-12-14 09:42:20

72

Views

Is inverse sufficient for a semigroup to be a group?

Published on 14 Dec 2016 - 9:42

score 66 · Answer 2 · 2026-02-23 06:40:50

66

Views

Build abelian group containing a set $K$ under an associative, commutative operation $*$ with an identity but the inverses are not always in $K$.

Published on 23 Feb 2026 - 6:40

score 78 · Answer 3 · 2016-12-29 17:13:11

78

Views

Necessary and sufficient condition to show the surjectivity of an action if the existence of right inverse is not known

Published on 29 Dec 2016 - 17:13

score 157 · Answer 4 · 2016-12-30 11:02:29

157

Views

Unique minimal generator set to any numerical semigroup?

Published on 30 Dec 2016 - 11:02

score 67 · Answer 5 · 2017-01-03 13:47:00

67

Views

Construction of generator set for intersection of numerical semigroups

Published on 03 Jan 2017 - 13:47

score 99 · Answer 6 · 2026-03-25 04:43:34

99

Views

In the symmetric inverse semigroup, $I_X$, if $|X| = n$, show that $|I_X| = \sum_{r=0}^n \begin{pmatrix} n\\ r\end{pmatrix}^2 r!$

Published on 25 Mar 2026 - 4:43

score 87 · Answer 7 · 2026-03-25 06:06:41

87

Views

Help with understanding the "upper saturation/closure" of a subset of an inverse Semigroup.

Published on 25 Mar 2026 - 6:06

score 961 · Answer 8 · 2017-01-07 13:30:05

961

Views

Definition of Primitive idempotent element of a semigroup $S$

Published on 07 Jan 2017 - 13:30

score 96 · Answer 9 · 2026-03-25 04:35:27

96

Views

Is this semigroup a group?

Published on 25 Mar 2026 - 4:35

score 756 · Answer 10 · 2017-01-27 19:10:27

756

Views

Semigroup analogue to the classification of finite simple groups?

Published on 27 Jan 2017 - 19:10

score 57 · Answer 11 · 2017-02-07 05:27:10

57

Views

A completely simple semigroups with cancelaltions is a group (simple proof)

Published on 07 Feb 2017 - 5:27

score 90 · Answer 12 · 2017-02-07 14:57:04

90

Views

Given a semigroup $(R^1,.)$ does there exist a ring $(R,+,.)$ such that $(R^1,.)$ is its multiplicative semigroup?

Published on 07 Feb 2017 - 14:57

score 67 · Answer 13 · 2017-02-13 14:08:30

67

Views

Confusion about the notion of idempotency

Published on 13 Feb 2017 - 14:08

score 66 · Answer 14 · 2026-03-25 14:14:16

66

Views

J-class properties under a surjective homomorphism

Published on 25 Mar 2026 - 14:14

score 78 · Answer 15 · 2017-02-20 09:20:48

78

Views

Example of a semigroup which is a $0-$ direct union of completely $0-$ simple semigroup.

Published on 20 Feb 2017 - 9:20

List Question

Is inverse sufficient for a semigroup to be a group?

Build abelian group containing a set $K$ under an associative, commutative operation $*$ with an identity but the inverses are not always in $K$.

Necessary and sufficient condition to show the surjectivity of an action if the existence of right inverse is not known

Unique minimal generator set to any numerical semigroup?

Construction of generator set for intersection of numerical semigroups

In the symmetric inverse semigroup, $I_X$, if $|X| = n$, show that $|I_X| = \sum_{r=0}^n \begin{pmatrix} n\\ r\end{pmatrix}^2 r!$

Help with understanding the "upper saturation/closure" of a subset of an inverse Semigroup.

Definition of Primitive idempotent element of a semigroup $S$

Is this semigroup a group?

Semigroup analogue to the classification of finite simple groups?

A completely simple semigroups with cancelaltions is a group (simple proof)

Given a semigroup $(R^1,.)$ does there exist a ring $(R,+,.)$ such that $(R^1,.)$ is its multiplicative semigroup?

Confusion about the notion of idempotency

J-class properties under a surjective homomorphism

Example of a semigroup which is a $0-$ direct union of completely $0-$ simple semigroup.

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