Question

Does Green's $\mathcal{J}$-relation define a total order on the equivalence classes?

score 138 · Answer 1 · 2014-12-30 19:14:59

138

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Does Green's $\mathcal{J}$-relation define a total order on the equivalence classes?

Published on 30 Dec 2014 - 19:14

score 92 · Answer 2 · 2019-10-03 22:06:47

92

Views

Semigroup isomorphism between $(\{1,2,\dots \},\times)$ and $(\{0,1,2,\dots \},+)$.

Published on 03 Oct 2019 - 22:06

score 1.8k · Answer 3 · 2019-10-04 19:34:09

1.8k

Views

The set of natural number is semi group?

Published on 04 Oct 2019 - 19:34

score 90 · Answer 4 · 2019-10-05 01:46:06

90

Views

What is a logical flaw of my proof?

Published on 05 Oct 2019 - 1:46

score 337 · Answer 5 · 2026-03-25 17:43:37

337

Views

The identity element of $(\mathbb{N} , \gcd)$.

Published on 25 Mar 2026 - 17:43

score 119 · Answer 6 · 2019-10-12 07:15:49

119

Views

Group with zero is semigroup?

Published on 12 Oct 2019 - 7:15

score 38 · Answer 7 · 2019-10-20 01:35:09

38

Views

A finite semigroup with left and right cancellation is a group.

Published on 20 Oct 2019 - 1:35

score 22 · Answer 8 · 2019-10-22 14:01:37

Show $(\mathcal S\times\mathcal S,*)$ with $|\mathcal S|\ge 2$ & $(a,b)*(c,d) = (c,b)$ is a semigroup without a one & $(a,b)^2=(a,b)\forall(a,b)$

score 349 · Answer 9 · 2026-03-25 17:38:16

349

Views

Show that there are exactly two Monoids with two elements.

Published on 25 Mar 2026 - 17:38

score 82 · Answer 10 · 2019-11-09 14:09:39

82

Views

Is the semigroup such that $\forall x\ (x\in S\to\exists y\ (y\in S\wedge\forall z\ (z\in S\to zxy=z)))$ a group?

Published on 09 Nov 2019 - 14:09

score 42 · Answer 11 · 2019-11-10 16:52:24

42

Views

is $a \circ b \circ a=a$ when $[A,\circ]$ is a semi-group

Published on 10 Nov 2019 - 16:52

score 53 · Answer 12 · 2026-03-25 17:27:08

53

Views

Terminology: groups whose elements are their own actions

Published on 25 Mar 2026 - 17:27

score 51 · Answer 13 · 2026-03-25 15:59:52

51

Views

Monoids $(\mathbb{N}^*,\cdot)$ and $(3 \mathbb{N} + 1, \cdot)$ are not isomorphic

Published on 25 Mar 2026 - 15:59

score 722 · Answer 14 · 2026-02-23 04:55:24

722

Views

What is difference between idempotent magma and unital magma?

Published on 23 Feb 2026 - 4:55

score 119 · Answer 15 · 2026-03-25 16:06:00

119

Views

Monoid operating on a set

Published on 25 Mar 2026 - 16:06

List Question

Does Green's $\mathcal{J}$-relation define a total order on the equivalence classes?

Semigroup isomorphism between $(\{1,2,\dots \},\times)$ and $(\{0,1,2,\dots \},+)$.

The set of natural number is semi group?

What is a logical flaw of my proof?

The identity element of $(\mathbb{N} , \gcd)$.

Group with zero is semigroup?

A finite semigroup with left and right cancellation is a group.

Show $(\mathcal S\times\mathcal S,)$ with $|\mathcal S|\ge 2$ & $(a,b)(c,d) = (c,b)$ is a semigroup without a one & $(a,b)^2=(a,b)\forall(a,b)$

Show that there are exactly two Monoids with two elements.

Is the semigroup such that $\forall x\ (x\in S\to\exists y\ (y\in S\wedge\forall z\ (z\in S\to zxy=z)))$ a group?

is $a \circ b \circ a=a$ when $[A,\circ]$ is a semi-group

Terminology: groups whose elements are their own actions

Monoids $(\mathbb{N}^*,\cdot)$ and $(3 \mathbb{N} + 1, \cdot)$ are not isomorphic

What is difference between idempotent magma and unital magma?

Monoid operating on a set

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