Question

For which commutative rings $R$, the first Weyl algebra $A_1(R)$ is simple?

score 334 · Answer 1 · 2026-04-14 21:51:32

334

Views

For which commutative rings $R$, the first Weyl algebra $A_1(R)$ is simple?

Published on 14 Apr 2026 - 21:51

score 1k · Answer 2 · 2026-04-20 08:06:44

1k

Views

Descending Chain Condition

Published on 20 Apr 2026 - 8:06

score 7.3k · Answer 3 · 2026-04-22 09:29:27

7.3k

Views

When is $HK$ a subgroup?

Published on 22 Apr 2026 - 9:29

score 44 · Answer 4 · 2026-04-11 16:34:43

44

Views

Homomorphism first theorem

Published on 11 Apr 2026 - 16:34

score 154 · Answer 5 · 2026-04-16 08:31:55

154

Views

If $xy = yx$ and $\lvert x\rvert$ and $\lvert y\rvert$ are coprime, then $\lvert xy\rvert = lcm(\lvert x\rvert, \lvert y\rvert)$

Published on 16 Apr 2026 - 8:31

score 79 · Answer 6 · 2026-04-14 11:25:57

79

Views

Homomorphism of groups and order of elements

Published on 14 Apr 2026 - 11:25

score 74 · Answer 7 · 2026-04-17 01:22:27

74

Views

Prove that $\mathbb{Q}(\sqrt[3]{p}, \sqrt{q}) = \mathbb{Q}(\sqrt[3]{p}\cdot\sqrt{q})$

Published on 17 Apr 2026 - 1:22

score 50 · Answer 8 · 2026-04-19 21:42:37

50

Views

Sufficient conditions for testing putative primary and secondary invariants

Published on 19 Apr 2026 - 21:42

score 27 · Answer 9 · 2026-04-12 08:04:31

27

Views

Is the following claim about modeular polynomial division correct?

Published on 12 Apr 2026 - 8:04

score 318 · Answer 10 · 2026-04-01 18:00:52

318

Views

Any large group is SQ-universal.

Published on 01 Apr 2026 - 18:00

score 2.1k · Answer 11 · 2026-04-11 22:08:33

2.1k

Views

How to find cyclic subgroup of group of permutations?

Published on 11 Apr 2026 - 22:08

score 819 · Answer 12 · 2026-04-22 02:36:16

819

Views

Semigroup homomorphism which isn't a monoid homomorphism

Published on 22 Apr 2026 - 2:36

score 102 · Answer 13 · 2026-04-20 04:34:28

102

Views

Prove that the following set is a field

Published on 20 Apr 2026 - 4:34

score 886 · Answer 14 · 2026-04-18 01:19:33

886

Views

Let R be a PID, B a torsion R module and p a prime in R. Prove that if $pb=0$ for some non zero b in B, then $\text{Ann}(B)$ is a subset of (p)

Published on 18 Apr 2026 - 1:19

score 704 · Answer 15 · 2026-04-15 17:12:15

704

Views

Prove that if a nonzero commutative ring R with identity has the property that every finitely generated R-module is free then R is a field.

Published on 15 Apr 2026 - 17:12

List Question

For which commutative rings $R$, the first Weyl algebra $A_1(R)$ is simple?

Descending Chain Condition

When is $HK$ a subgroup?

Homomorphism first theorem

If $xy = yx$ and $\lvert x\rvert$ and $\lvert y\rvert$ are coprime, then $\lvert xy\rvert = lcm(\lvert x\rvert, \lvert y\rvert)$

Homomorphism of groups and order of elements

Prove that $\mathbb{Q}(\sqrt[3]{p}, \sqrt{q}) = \mathbb{Q}(\sqrt[3]{p}\cdot\sqrt{q})$

Sufficient conditions for testing putative primary and secondary invariants

Is the following claim about modeular polynomial division correct?

Any large group is SQ-universal.

How to find cyclic subgroup of group of permutations?

Semigroup homomorphism which isn't a monoid homomorphism

Prove that the following set is a field

Let R be a PID, B a torsion R module and p a prime in R. Prove that if $pb=0$ for some non zero b in B, then $\text{Ann}(B)$ is a subset of (p)

Prove that if a nonzero commutative ring R with identity has the property that every finitely generated R-module is free then R is a field.

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