Question

In search for a variety that would describe semigroups faithfully representable as right translations.

score 102 · Answer 1 · 2020-12-20 20:42:45

102

Views

In search for a variety that would describe semigroups faithfully representable as right translations.

Published on 20 Dec 2020 - 20:42

score 103 · Answer 2 · 2020-12-20 21:47:19

103

Views

Need to prove or disprove an alternative group definition.

Published on 20 Dec 2020 - 21:47

score 49 · Answer 3 · 2020-12-20 22:22:13

49

Views

Semigroup without a weak basis

Published on 20 Dec 2020 - 22:22

score 67 · Answer 4 · 2020-12-21 15:21:51

67

Views

Does this variety describe left monoids?

Published on 21 Dec 2020 - 15:21

score 133 · Answer 5 · 2026-03-25 06:05:21

133

Views

Is any finite semigroup of this type a left monoid?

Published on 25 Mar 2026 - 6:05

score 137 · Answer 6 · 2020-12-29 19:20:32

137

Views

$x^2\ast y = y = y \ast x^2$ implies commutativity?

Published on 29 Dec 2020 - 19:20

score 64 · Answer 7 · 2020-12-30 23:17:05

64

Views

Congruences in model theory

Published on 30 Dec 2020 - 23:17

score 66 · Answer 8 · 2026-03-27 23:02:04

66

Views

Why do we talk about $C_0$-semigroups and not $C_0$-monoids?

Published on 27 Mar 2026 - 23:02

score 156 · Answer 9 · 2026-02-24 05:10:50

156

Views

Natural Choice of Topology for Free Monoid on a Space

Published on 24 Feb 2026 - 5:10

score 760 · Answer 10 · 2021-01-12 22:19:52

760

Views

Are all commutative, associative binary operations isomorphic to addition?

Published on 12 Jan 2021 - 22:19

score 53 · Answer 11 · 2026-03-27 16:55:16

53

Views

Cardinality of equivalence classes in the positive braid semigroup?

Published on 27 Mar 2026 - 16:55

score 102 · Answer 12 · 2026-03-28 23:19:34

102

Views

Let $(G,*)$ be a finite semigroup with identity. Prove that $G$ is a group iff $G$ has only one element $a$ such that $a^2=a$.

Published on 28 Mar 2026 - 23:19

score 538 · Answer 13 · 2026-03-25 04:41:42

538

Views

Let $(S,*)$ be a finite semigroup with identity. Prove that $S$ is a group iff $S$ has only one element $x$ such that $x^2=x$.

Published on 25 Mar 2026 - 4:41

score 595 · Answer 14 · 2021-01-19 08:58:32

595

Views

A semigroup with only one idempotent element is not a group counterexample.

Published on 19 Jan 2021 - 8:58

score 136 · Answer 15 · 2026-02-23 04:56:33

136

Views

Inverse Semigroups, Partial Bijections, and Semilattice of Idempotents

Published on 23 Feb 2026 - 4:56

List Question

In search for a variety that would describe semigroups faithfully representable as right translations.

Need to prove or disprove an alternative group definition.

Semigroup without a weak basis

Does this variety describe left monoids?

Is any finite semigroup of this type a left monoid?

$x^2\ast y = y = y \ast x^2$ implies commutativity?

Congruences in model theory

Why do we talk about $C_0$-semigroups and not $C_0$-monoids?

Natural Choice of Topology for Free Monoid on a Space

Are all commutative, associative binary operations isomorphic to addition?

Cardinality of equivalence classes in the positive braid semigroup?

Let $(G,*)$ be a finite semigroup with identity. Prove that $G$ is a group iff $G$ has only one element $a$ such that $a^2=a$.

Let $(S,*)$ be a finite semigroup with identity. Prove that $S$ is a group iff $S$ has only one element $x$ such that $x^2=x$.

A semigroup with only one idempotent element is not a group counterexample.

Inverse Semigroups, Partial Bijections, and Semilattice of Idempotents

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