List questions from finitely-generated

Published on 20 Mar 2026 - 10:37

178

Views

Ascending chain of proper submodules in a module all whose proper submodules are Noetherian

Published on 20 Mar 2026 - 10:16

630

Views

Is a connected component a group?

Published on 22 Mar 2026 - 4:54

183

Views

How to realize the character group as a Lie/algebraic/topological group?

Published on 19 Mar 2026 - 20:34

571

Views

Finitely generated modules over noetherian rings

Published on 23 Mar 2026 - 0:41

41

Views

Integral Elements form a Ring

Published on 19 Mar 2026 - 21:25

749

Views

Module over integral domain, "Rank-nullity theorem", Exact Sequence

Published on 19 Mar 2026 - 15:33

234

Views

Example of a module that is finitely generated, finitely cogenerated and linearly compact, but not Artinian!

Published on 20 Mar 2026 - 15:13

144

Views

Computing homology groups, algebra confusion

Published on 20 Mar 2026 - 10:08

1.3k

Views

Ideal Generated by Nilpotent Elements is a Nilpotent Ideal

Published on 20 Mar 2026 - 3:00

80

Views

Finding $m,n,k$ for which $|G|=mn$ and $G$ is nonabelian, where $G$ is given by $\langle x,y\mid x^m=y^n=1,xy=yx^k\rangle$.

Published on 21 Mar 2026 - 22:59

133

Views

I believe all groups are necessarily finitely or infinitely generated. Is that correct?

Published on 25 Mar 2026 - 1:27

92

Views

Complicated Proof of Free Group Generators by $n$ elements implies $\operatorname{Rank}(F) \le n$

Published on 25 Mar 2026 - 1:28

94

Views

How can we generate a finite group by a set?

Published on 22 Mar 2026 - 11:25

682

Views

A minimal generating set of the Quaternions?

Published on 24 Mar 2026 - 22:09

List Question

projective module which is a submodule of a finitely generated free module

Ascending chain of proper submodules in a module all whose proper submodules are Noetherian

Is a connected component a group?

How to realize the character group as a Lie/algebraic/topological group?

Finitely generated modules over noetherian rings

Integral Elements form a Ring

Module over integral domain, "Rank-nullity theorem", Exact Sequence

Example of a module that is finitely generated, finitely cogenerated and linearly compact, but not Artinian!

Computing homology groups, algebra confusion

Ideal Generated by Nilpotent Elements is a Nilpotent Ideal

Finding $m,n,k$ for which $|G|=mn$ and $G$ is nonabelian, where $G$ is given by $\langle x,y\mid x^m=y^n=1,xy=yx^k\rangle$.

I believe all groups are necessarily finitely or infinitely generated. Is that correct?

Complicated Proof of Free Group Generators by $n$ elements implies $\operatorname{Rank}(F) \le n$

How can we generate a finite group by a set?

A minimal generating set of the Quaternions?

Trending Questions

Popular # Hahtags

Popular Questions