List questions from semigroups

Published on 22 Mar 2026 - 10:08

239

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Expressing Green's relations in regular semigroups

Published on 22 Mar 2026 - 17:22

1.6k

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In a Cayley table, which Group axioms fail when an entry appears twice in a row or a column?

Published on 22 Mar 2026 - 23:30

41

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Proving a left identity

Published on 04 Sep 2018 - 20:41

214

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Direct sum of Matrix algebras is not isomorphic to some semigroup algebra

Published on 09 Sep 2018 - 13:25

74

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Direct sum of reals and quaternions is not a semigroup algebra for some semigroup

Published on 09 Sep 2018 - 22:31

422

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Terminology for a "subgroup" that has a different identity element.

Published on 11 Sep 2018 - 9:17

44

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Is there a name for pairs of elements $(a,b)$ of a semigroup $S$ satisfying $\forall x,y \in S : axbayb = axyb$?

Published on 12 Sep 2018 - 2:15

61

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Factorising a divisor of a product

Published on 13 Sep 2018 - 13:15

208

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Is a monoid commutative if $(ab)^2=a^2b^2$?

Published on 20 Sep 2018 - 17:45

127

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Implicit operations in finite semigroups.

Published on 22 Mar 2026 - 12:45

65

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Understanding a particular group/semigroup operation

Published on 29 Sep 2018 - 0:28

149

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Suppose $G$ is a semigroup and it holds both left and right cancellation.

Published on 29 Sep 2018 - 17:33

66

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Question on proving $γ∨ρ=γ∘ρ∘γ$

Published on 30 Sep 2018 - 8:19

66

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Check the properties of the following operation defined on R

Published on 11 Oct 2018 - 15:16

List Question

About 3-dimensional quadratic space

Expressing Green's relations in regular semigroups

In a Cayley table, which Group axioms fail when an entry appears twice in a row or a column?

Proving a left identity

Direct sum of Matrix algebras is not isomorphic to some semigroup algebra

Direct sum of reals and quaternions is not a semigroup algebra for some semigroup

Terminology for a "subgroup" that has a different identity element.

Is there a name for pairs of elements $(a,b)$ of a semigroup $S$ satisfying $\forall x,y \in S : axbayb = axyb$?

Factorising a divisor of a product

Is a monoid commutative if $(ab)^2=a^2b^2$?

Implicit operations in finite semigroups.

Understanding a particular group/semigroup operation

Suppose $G$ is a semigroup and it holds both left and right cancellation.

Question on proving $γ∨ρ=γ∘ρ∘γ$

Check the properties of the following operation defined on R

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