Question

Abstract Algebra - steps along the way from a commutative semigroup with certain properties to a group

score 73 · Answer 1 · 2021-11-01 23:30:51

73

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Abstract Algebra - steps along the way from a commutative semigroup with certain properties to a group

Published on 01 Nov 2021 - 23:30

score 95 · Answer 2 · 2021-11-03 08:25:08

95

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Anticommutative Operation with Left Cancellative Element is Right Operation -- why?

Published on 03 Nov 2021 - 8:25

score 25 · Answer 3 · 2021-11-17 08:26:45

25

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Let $G$ be an ordered abelian group, $b\geq 0$. Suppose $k\geq 1$ and $-b\leq k\cdot a\leq b$. Does $-s\cdot b\leq a\leq s\cdot b$ hold for some $s$?

Published on 17 Nov 2021 - 8:26

score 33 · Answer 4 · 2021-11-18 09:24:06

33

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Equality of two Fibonacci Semigroup

Published on 18 Nov 2021 - 9:24

score 76 · Answer 5 · 2021-11-23 11:17:36

76

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If $\forall a,b \in G, \exists x \in G: a * x = b$ and $\forall a,b \in G, \exists x \in G: x * a = b$ then $G$ is a group

Published on 23 Nov 2021 - 11:17

score 147 · Answer 6 · 2026-03-26 22:14:07

147

Views

Chebyshev polynomials semigroup property $T_n \circ T_m = T_{nm}$

Published on 26 Mar 2026 - 22:14

score 52 · Answer 7 · 2026-03-25 09:50:53

52

Views

Prove simplified version of Rees matrix theorem (for completely simple semigroups, without 0).

Published on 25 Mar 2026 - 9:50

score 45 · Answer 8 · 2021-11-30 16:39:44

45

Views

How are bands completely regular?

Published on 30 Nov 2021 - 16:39

score 191 · Answer 9 · 2021-12-13 23:08:13

191

Views

In a semigroup does left identity and right inverse imply a group?

Published on 13 Dec 2021 - 23:08

score 100 · Answer 10 · 2026-02-23 19:19:47

100

Views

Term for a semigroup with left identities and left inverses?

Published on 23 Feb 2026 - 19:19

score 54 · Answer 11 · 2021-12-28 15:57:29

54

Views

computation by commuting

Published on 28 Dec 2021 - 15:57

score 196 · Answer 12 · 2022-01-03 22:26:11

196

Views

Dynamical System Cocycles: (Semi)Group vs. Monoid Definitions - Examples When is Distinction Important?

Published on 03 Jan 2022 - 22:26

score 104 · Answer 13 · 2026-03-25 20:09:33

104

Views

hyperidentities, unknown evaluation

Published on 25 Mar 2026 - 20:09

score 156 · Answer 14 · 2022-01-12 20:21:56

156

Views

Vector spaces without additive inverses

Published on 12 Jan 2022 - 20:21

score 153 · Answer 15 · 2022-01-15 19:28:33

153

Views

Proving $\nu_{t/n} \to \delta_0$ weakly as $n \to \infty$ for convolution semigroup

Published on 15 Jan 2022 - 19:28

List Question

Abstract Algebra - steps along the way from a commutative semigroup with certain properties to a group

Anticommutative Operation with Left Cancellative Element is Right Operation -- why?

Let $G$ be an ordered abelian group, $b\geq 0$. Suppose $k\geq 1$ and $-b\leq k\cdot a\leq b$. Does $-s\cdot b\leq a\leq s\cdot b$ hold for some $s$?

Equality of two Fibonacci Semigroup

If $\forall a,b \in G, \exists x \in G: a * x = b$ and $\forall a,b \in G, \exists x \in G: x * a = b$ then $G$ is a group

Chebyshev polynomials semigroup property $T_n \circ T_m = T_{nm}$

Prove simplified version of Rees matrix theorem (for completely simple semigroups, without 0).

How are bands completely regular?

In a semigroup does left identity and right inverse imply a group?

Term for a semigroup with left identities and left inverses?

computation by commuting

Dynamical System Cocycles: (Semi)Group vs. Monoid Definitions - Examples When is Distinction Important?

hyperidentities, unknown evaluation

Vector spaces without additive inverses

Proving $\nu_{t/n} \to \delta_0$ weakly as $n \to \infty$ for convolution semigroup

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