Question

Are the identities $\{(xy)^p = x^p y^p : p \mbox{ is prime}\}$ logically independent?

score 74 · Answer 1 · 2026-04-14 10:46:12

74

Views

Are the identities $\{(xy)^p = x^p y^p : p \mbox{ is prime}\}$ logically independent?

Published on 14 Apr 2026 - 10:46

score 1.2k · Answer 2 · 2026-04-14 08:25:18

1.2k

Views

Why is a monoid with right identity and left inverse not necessarily a group?

Published on 14 Apr 2026 - 8:25

score 2.8k · Answer 3 · 2026-04-12 16:35:25

2.8k

Views

Operations on power set

Published on 12 Apr 2026 - 16:35

score 185 · Answer 4 · 2026-04-17 13:33:41

185

Views

Monoids, Semigroups, and a Reflective Subcategory.

Published on 17 Apr 2026 - 13:33

score 1.4k · Answer 5 · 2026-04-15 06:44:56

1.4k

Views

Trying to understand significance of monoid as a one object category

Published on 15 Apr 2026 - 6:44

score 147 · Answer 6 · 2026-04-11 19:07:13

147

Views

Does such a finite monoid exist?

Published on 11 Apr 2026 - 19:07

score 245 · Answer 7 · 2026-04-11 17:48:17

245

Views

Building a commutative monoid in which every cancellative element is invertible

Published on 11 Apr 2026 - 17:48

score 93 · Answer 8 · 2026-04-12 20:55:56

93

Views

If two elements a,b have a gcd, do then at,bt also have a gcd?

Published on 12 Apr 2026 - 20:55

score 97 · Answer 9 · 2026-04-08 23:56:20

97

Views

References about "algebras over monoids"

Published on 08 Apr 2026 - 23:56

score 151 · Answer 10 · 2026-04-15 13:40:07

151

Views

Subsets of a monoid closed under left-multiplication by elements of a submonoid

Published on 15 Apr 2026 - 13:40

score 1.3k · Answer 11 · 2026-05-11 01:47:52

1.3k

Views

Prove that in a finite monoid each element is invertible

Published on 11 May 2026 - 1:47

score 191 · Answer 12 · 2026-04-13 08:27:06

191

Views

What is the name of the algebraic structure constructed with an abelian monoid and a field?

Published on 13 Apr 2026 - 8:27

score 96 · Answer 13 · 2026-04-14 00:48:09

96

Views

Group-like structures over the integers and functions on them

Published on 14 Apr 2026 - 0:48

score 219 · Answer 14 · 2026-04-11 00:09:12

219

Views

Does there exist a surjective homomorphism between every pair of monoids?

Published on 11 Apr 2026 - 0:09

score 86 · Answer 15 · 2026-04-16 21:38:47

86

Views

If $X$ is an Abelian group, then $\ker_X : \mathrm{Cong}(X) \rightarrow \mathrm{Sub}(X)$ is a bijection. Is there a partial converse?

Published on 16 Apr 2026 - 21:38

List Question

Are the identities $\{(xy)^p = x^p y^p : p \mbox{ is prime}\}$ logically independent?

Why is a monoid with right identity and left inverse not necessarily a group?

Operations on power set

Monoids, Semigroups, and a Reflective Subcategory.

Trying to understand significance of monoid as a one object category

Does such a finite monoid exist?

Building a commutative monoid in which every cancellative element is invertible

If two elements a,b have a gcd, do then at,bt also have a gcd?

References about "algebras over monoids"

Subsets of a monoid closed under left-multiplication by elements of a submonoid

Prove that in a finite monoid each element is invertible

What is the name of the algebraic structure constructed with an abelian monoid and a field?

Group-like structures over the integers and functions on them

Does there exist a surjective homomorphism between every pair of monoids?

If $X$ is an Abelian group, then $\ker_X : \mathrm{Cong}(X) \rightarrow \mathrm{Sub}(X)$ is a bijection. Is there a partial converse?

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