Question

When does a modified distributive law, like $a\cdot(b+c)=(a\cdot a)+(b\cdot c)$, allow polynomials to be written in the standard form?

score 61 · Answer 1 · 2026-03-28 11:33:30

61

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When does a modified distributive law, like $a\cdot(b+c)=(a\cdot a)+(b\cdot c)$, allow polynomials to be written in the standard form?

Published on 28 Mar 2026 - 11:33

score 37 · Answer 2 · 2023-11-08 20:21:32

37

Views

Free algebra over the intersection of varieties

Published on 08 Nov 2023 - 20:21

score 121 · Answer 3 · 2026-02-23 10:20:31

121

Views

Subrings and quotients of finite semigroup algebras

Published on 23 Feb 2026 - 10:20

score 42 · Answer 4 · 2026-03-26 11:05:02

42

Views

Techniques for showing that sole sufficient operators of a given arity do not exist for a given algebra

Published on 26 Mar 2026 - 11:05

score 80 · Answer 5 · 2023-12-02 18:19:23

80

Views

Is there a finite generating set for the clone of all operations on a finite set with at least 3 elements?

Published on 02 Dec 2023 - 18:19

score 1.1k · Answer 6 · 2023-12-07 19:54:44

1.1k

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Group is to ring as ring is to...

Published on 07 Dec 2023 - 19:54

score 54 · Answer 7 · 2023-12-17 11:16:03

54

Views

Prove that in every algebra the union of any chain of subalgebras is a subalgebra

Published on 17 Dec 2023 - 11:16

score 118 · Answer 8 · 2026-03-25 22:03:55

118

Views

Why coproduct in the algebra of linear operators is actually a coproduct?

Published on 25 Mar 2026 - 22:03

score 134 · Answer 9 · 2026-03-26 14:20:54

134

Views

How do I prove $U(\mathfrak{g} \oplus \mathfrak{h})\cong U(\mathfrak{g})\otimes U(\mathfrak{h})$ using the universal properties?

Published on 26 Mar 2026 - 14:20

score 131 · Answer 10 · 2023-12-24 12:04:41

131

Views

Does cartesian product satisfy any nontrivial equational identity?

Published on 24 Dec 2023 - 12:04

score 154 · Answer 11 · 2023-12-27 01:06:33

154

Views

Describe the class of groups that satisfy $(x^2y^2)^2 \approx 1$

Published on 27 Dec 2023 - 1:06

score 277 · Answer 12 · 2023-12-31 13:05:39

277

Views

What is the minimum number of axioms necessary to define a (not necessarily commutative) ring (that doesn't have to have a one)?

Published on 31 Dec 2023 - 13:05

score 67 · Answer 13 · 2024-01-05 03:45:44

67

Views

Can you determine the polymorphisms of this relation?

Published on 05 Jan 2024 - 3:45

score 46 · Answer 14 · 2026-03-27 01:48:05

46

Views

If the direct product of two semilattices exists, what does its Hasse diagram look like in terms of its constituent semilattice Hasse diagrams?

Published on 27 Mar 2026 - 1:48

score 92 · Answer 15 · 2024-01-19 22:19:37

92

Views

Construction of free objects in an arbitrary variety using only the HSP operations

Published on 19 Jan 2024 - 22:19

List Question

When does a modified distributive law, like $a\cdot(b+c)=(a\cdot a)+(b\cdot c)$, allow polynomials to be written in the standard form?

Free algebra over the intersection of varieties

Subrings and quotients of finite semigroup algebras

Techniques for showing that sole sufficient operators of a given arity do not exist for a given algebra

Is there a finite generating set for the clone of all operations on a finite set with at least 3 elements?

Group is to ring as ring is to...

Prove that in every algebra the union of any chain of subalgebras is a subalgebra

Why coproduct in the algebra of linear operators is actually a coproduct?

How do I prove $U(\mathfrak{g} \oplus \mathfrak{h})\cong U(\mathfrak{g})\otimes U(\mathfrak{h})$ using the universal properties?

Does cartesian product satisfy any nontrivial equational identity?

Describe the class of groups that satisfy $(x^2y^2)^2 \approx 1$

What is the minimum number of axioms necessary to define a (not necessarily commutative) ring (that doesn't have to have a one)?

Can you determine the polymorphisms of this relation?

If the direct product of two semilattices exists, what does its Hasse diagram look like in terms of its constituent semilattice Hasse diagrams?

Construction of free objects in an arbitrary variety using only the HSP operations

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