List questions from finitely-generated

Published on 17 Oct 2014 - 15:16

122

Views

Correctness of the relation between free, torsion, torsion free, finitely generated module.

Published on 27 Oct 2014 - 2:04

416

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Finitely generated submodule of a localisation

Published on 15 Nov 2014 - 12:26

266

Views

Characterization of free modules

Published on 15 Nov 2014 - 19:13

1.2k

Views

Finitely generated module over PID; Dummit and Foote, Exercise 12.1.12

Published on 02 Dec 2014 - 0:37

1.1k

Views

Homomorphism from a finitely generated module to a direct sum of modules

Published on 21 Dec 2014 - 1:27

320

Views

Finding suitable basis for a free abelian finitely generated group.

Published on 24 Dec 2014 - 21:11

150

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A question about a free abelian finitely generated group.

Published on 24 Dec 2014 - 22:28

65

Views

Co-rank of a group with $a^2b^2c^2=1$

Published on 26 Mar 2026 - 6:29

1k

Views

Free abelian group, matrix representation.

Published on 26 Mar 2026 - 6:33

81

Views

finitely generated and flat module with respect to exact sequences and tensor product

Published on 25 Mar 2026 - 22:02

35

Views

Pairs of generators in $C_{5} \times C_{5}\times C_{5}$

Published on 09 Oct 2019 - 18:21

384

Views

Finding a generator for the intersection of two subgroups

Published on 10 Oct 2019 - 3:44

37

Views

Suppose $F$ is a finitely generated free group, with $M,N \trianglelefteq F$ such that $M \leq N$. If $F/N \cong F/M$ then need we have $N=M$?

Published on 12 Oct 2019 - 17:46

124

Views

Show that there is no proper ideal of finite presentation of $R$.

Published on 17 Oct 2019 - 17:18

List Question

An ideal which is not finitely generated

Correctness of the relation between free, torsion, torsion free, finitely generated module.

Finitely generated submodule of a localisation

Characterization of free modules

Finitely generated module over PID; Dummit and Foote, Exercise 12.1.12

Homomorphism from a finitely generated module to a direct sum of modules

Finding suitable basis for a free abelian finitely generated group.

A question about a free abelian finitely generated group.

Co-rank of a group with $a^2b^2c^2=1$

Free abelian group, matrix representation.

finitely generated and flat module with respect to exact sequences and tensor product

Pairs of generators in $C_{5} \times C_{5}\times C_{5}$

Finding a generator for the intersection of two subgroups

Suppose $F$ is a finitely generated free group, with $M,N \trianglelefteq F$ such that $M \leq N$. If $F/N \cong F/M$ then need we have $N=M$?

Show that there is no proper ideal of finite presentation of $R$.

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