List questions from finitely-generated

Published on 25 Mar 2026 - 18:44

278

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Product of commutators in a group with abelian commutator subgroup

Published on 26 Mar 2014 - 5:56

2.2k

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If the tensor product of two modules is free of finite rank, then the modules are finitely generated and projective

Published on 31 Mar 2014 - 5:56

1.8k

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Free $A$-module isomorphic to a direct sum of copies of $A$?

Published on 09 Apr 2014 - 22:24

1.5k

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Finitely generated graded modules over $K[x]$

Published on 25 Mar 2026 - 7:40

262

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Finitely generated group that doesn't satisfy ACC condition.

Published on 01 May 2014 - 19:26

211

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Rank of finitely generated abelian groups

Published on 02 May 2014 - 19:39

1.8k

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Any non-trivial finitely-generated group admits maximal subgroups

Published on 25 Mar 2026 - 3:01

190

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Choice of ideal so that localisation of a module must be free?

Published on 25 Mar 2026 - 20:14

43

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Is the image of Spec$k$ closed under these conditions?

Published on 12 May 2014 - 3:14

115

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Algebra extension of modules question

Published on 17 May 2014 - 8:58

318

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How to construct a nonzero homomorphism from a module to a proper submodule?

Published on 18 May 2014 - 13:35

46

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Example of non finitely-generated $R$-Module $K$ so that $K/PK$ is finitely generated

Published on 25 May 2014 - 1:02

1.4k

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the automorphism group of a finitely generated group

Published on 08 Jun 2014 - 7:00

790

Views

A field is finite if and only if its multiplicative group is finitely generated.

Published on 21 Jun 2014 - 7:33

List Question

Finitely generated k-algebra is Noetherian

Product of commutators in a group with abelian commutator subgroup

If the tensor product of two modules is free of finite rank, then the modules are finitely generated and projective

Free $A$-module isomorphic to a direct sum of copies of $A$?

Finitely generated graded modules over $K[x]$

Finitely generated group that doesn't satisfy ACC condition.

Rank of finitely generated abelian groups

Any non-trivial finitely-generated group admits maximal subgroups

Choice of ideal so that localisation of a module must be free?

Is the image of Spec$k$ closed under these conditions?

Algebra extension of modules question

How to construct a nonzero homomorphism from a module to a proper submodule?

Example of non finitely-generated $R$-Module $K$ so that $K/PK$ is finitely generated

the automorphism group of a finitely generated group

A field is finite if and only if its multiplicative group is finitely generated.

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