List questions from finitely-generated

Published on 02 Jul 2016 - 23:54

276

Views

Is almost any group generated by two generators?

Published on 27 Mar 2026 - 17:29

456

Views

Finitely generated abelian group isomorphic to infinite abelian group?

Published on 28 Sep 2013 - 20:50

267

Views

A finitely related module is the direct sum of a free module and a finitely presented module

Published on 07 Oct 2013 - 21:50

191

Views

Finitely presented modules and torsion

Published on 26 Mar 2026 - 17:51

143

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The word norm bound between two minimal generators set of a group.

Published on 14 Nov 2013 - 21:45

1k

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Subgroups of given index of a finitely generated group

Published on 17 Nov 2013 - 19:20

685

Views

Polycyclic groups are finitely generated

Published on 06 Dec 2013 - 0:07

1.5k

Views

Commutative integral domain does not finitely generate its field of fractions

Published on 28 Mar 2026 - 6:24

88

Views

Certain submodules of a finitely generated $R$-module are finitely generated?

Published on 12 Dec 2013 - 17:43

338

Views

If $R[s], R[t]$ are finitely generated as $R$-modules, the so is $R[s + t]$.

Published on 12 Dec 2013 - 18:58

112

Views

Free module or finitely generated?

Published on 28 Dec 2013 - 22:06

408

Views

Finitely generated module question

Published on 01 Jan 2014 - 22:18

1.2k

Views

Commutator subgroup of a finitely generated nilpotent group.

Published on 25 Mar 2026 - 19:03

178

Views

How to prove the ring $R_J$ is Noetherian without use the theorem of I. S. Cohen?

Published on 31 Jan 2014 - 14:42

List Question

Determine if quotient(factor) ring $K[x_{1},\ldots ,x_{n}]/I$ is finitely generated

Is almost any group generated by two generators?

Finitely generated abelian group isomorphic to infinite abelian group?

A finitely related module is the direct sum of a free module and a finitely presented module

Finitely presented modules and torsion

The word norm bound between two minimal generators set of a group.

Subgroups of given index of a finitely generated group

Polycyclic groups are finitely generated

Commutative integral domain does not finitely generate its field of fractions

Certain submodules of a finitely generated $R$-module are finitely generated?

If $R[s], R[t]$ are finitely generated as $R$-modules, the so is $R[s + t]$.

Free module or finitely generated?

Finitely generated module question

Commutator subgroup of a finitely generated nilpotent group.

How to prove the ring $R_J$ is Noetherian without use the theorem of I. S. Cohen?

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