Question

Bound for the rank of a nilpotent group

score 639 · Answer 1 · 2026-03-25 22:11:12

639

Views

Bound for the rank of a nilpotent group

Published on 25 Mar 2026 - 22:11

score 2.7k · Answer 2 · 2011-06-16 07:48:02

2.7k

Views

Must $k$-subalgebra of $k[x]$ be finitely generated?

Published on 16 Jun 2011 - 7:48

score 340 · Answer 3 · 2026-03-27 17:37:15

340

Views

An abelian group with $n$ generators and $r(r<n)$ more relations is infinite

Published on 27 Mar 2026 - 17:37

score 458 · Answer 4 · 2026-03-25 19:02:36

458

Views

Finite index subgroup with free abelianization

Published on 25 Mar 2026 - 19:02

score 590 · Answer 5 · 2026-03-27 10:24:24

590

Views

Characterization of flatness in terms of base change preservation

Published on 27 Mar 2026 - 10:24

score 23.2k · Answer 6 · 2012-03-27 10:37:04

23.2k

Views

Finitely generated module with a submodule that is not finitely generated

Published on 27 Mar 2012 - 10:37

score 574 · Answer 7 · 2012-05-28 21:55:19

574

Views

How can I find an element $x\not\in\mathfrak mM_{\mathfrak m}$ for every maximal ideal $\mathfrak m$

Published on 28 May 2012 - 21:55

score 512 · Answer 8 · 2012-05-29 00:20:44

512

Views

A formula for the minimum number of generators of a module over a semilocal ring

Published on 29 May 2012 - 0:20

score 10.7k · Answer 9 · 2012-07-20 00:21:19

10.7k

Views

Any finitely generated subgroup of $(\mathbb{Q},+)$ is cyclic.

Published on 20 Jul 2012 - 0:21

score 153 · Answer 10 · 2026-03-26 12:42:32

153

Views

Generating set without elements of order 2

Published on 26 Mar 2026 - 12:42

score 15.4k · Answer 11 · 2013-02-02 11:21:16

15.4k

Views

Show that $({\mathbb{Q}},+)$ is not finitely generated using the Fundamental Theorem of Finitely Generated Abelian Groups.

Published on 02 Feb 2013 - 11:21

score 2.6k · Answer 12 · 2026-03-29 03:36:10

2.6k

Views

A fraction field is not finitely generated over its subdomain

Published on 29 Mar 2026 - 3:36

score 70 · Answer 13 · 2020-08-06 05:06:14

70

Views

Proving the variance of the distribution of $m$-fold products of elements of a generating set is asymptotic to $c^m$ without advanced tools

Published on 06 Aug 2020 - 5:06

score 680 · Answer 14 · 2020-08-09 10:36:48

680

Views

Problem with split exact sequences and free finitely generated modules

Published on 09 Aug 2020 - 10:36

score 64 · Answer 15 · 2026-03-29 13:22:01

64

Views

$A$ is finitely generated free.

Published on 29 Mar 2026 - 13:22

List Question

Bound for the rank of a nilpotent group

Must $k$-subalgebra of $k[x]$ be finitely generated?

An abelian group with $n$ generators and $r(r<n)$ more relations is infinite

Finite index subgroup with free abelianization

Characterization of flatness in terms of base change preservation

Finitely generated module with a submodule that is not finitely generated

How can I find an element $x\not\in\mathfrak mM_{\mathfrak m}$ for every maximal ideal $\mathfrak m$

A formula for the minimum number of generators of a module over a semilocal ring

Any finitely generated subgroup of $(\mathbb{Q},+)$ is cyclic.

Generating set without elements of order 2

Show that $({\mathbb{Q}},+)$ is not finitely generated using the Fundamental Theorem of Finitely Generated Abelian Groups.

A fraction field is not finitely generated over its subdomain

Proving the variance of the distribution of $m$-fold products of elements of a generating set is asymptotic to $c^m$ without advanced tools

Problem with split exact sequences and free finitely generated modules

$A$ is finitely generated free.

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