Question

Need a counterexample: If the induced homomorphism $M/\mathfrak aM \to N/\mathfrak aN$ is surjective, then $f$ it's surjective.

score 317 · Answer 1 · 2015-09-01 02:04:10

317

Views

Need a counterexample: If the induced homomorphism $M/\mathfrak aM \to N/\mathfrak aN$ is surjective, then $f$ it's surjective.

Published on 01 Sep 2015 - 2:04

score 70 · Answer 2 · 2015-09-14 10:01:44

70

Views

Where is finitely generated used in the proof below.

Published on 14 Sep 2015 - 10:01

score 769 · Answer 3 · 2015-09-14 19:36:21

769

Views

Annihilator of a quotient module over a local ring

Published on 14 Sep 2015 - 19:36

score 39 · Answer 4 · 2026-03-27 16:20:03

39

Views

A word problem in abelian $p$-groups

Published on 27 Mar 2026 - 16:20

score 470 · Answer 5 · 2026-03-27 16:26:08

470

Views

Is every finite group finitely presented? (From Michael Artin's book)

Published on 27 Mar 2026 - 16:26

score 156 · Answer 6 · 2015-09-19 16:27:33

156

Views

Is the FC-center of a finitely generated group itself finitely generated?

Published on 19 Sep 2015 - 16:27

score 1.8k · Answer 7 · 2015-09-23 04:31:20

1.8k

Views

$M_a =\{ f\in C[0,1] |\ f(a)=0 \}$ for $a$ $\in$ $[0,1]$. Is $M_a$ finitely generated in $C[0,1]$?

Published on 23 Sep 2015 - 4:31

score 6.4k · Answer 8 · 2015-09-25 12:35:24

6.4k

Views

Finitely generated vs presented

Published on 25 Sep 2015 - 12:35

score 113 · Answer 9 · 2026-03-27 19:30:34

113

Views

Checking that a set is a finitely generated ideal

Published on 27 Mar 2026 - 19:30

score 495 · Answer 10 · 2015-09-30 15:37:53

495

Views

Determining the Order of a Finitely Generated Abelian Group from the Order of its Generators

Published on 30 Sep 2015 - 15:37

score 267 · Answer 11 · 2026-03-27 07:14:52

267

Views

Is a submonoid of a commutative, finitely generated monoid, always finitely generated?

Published on 27 Mar 2026 - 7:14

score 215 · Answer 12 · 2026-03-15 19:47:18

215

Views

$A \oplus M$ is Noetherian iff $A$ is Noetherian and $M$ is a f.g. $A$-module

Published on 15 Mar 2026 - 19:47

score 2k · Answer 13 · 2015-11-02 11:13:33

2k

Views

Express an abelian group given as finite generators and their relations as a direct sum of cyclic groups and find corresponding generators.

Published on 02 Nov 2015 - 11:13

score 585 · Answer 14 · 2026-03-15 03:42:48

585

Views

Example of submodule which has higher "rank" than the module

Published on 15 Mar 2026 - 3:42

score 4.4k · Answer 15 · 2015-11-11 17:32:31

4.4k

Views

What is the relationship between prime ideals and their generators?

Published on 11 Nov 2015 - 17:32

List Question

Need a counterexample: If the induced homomorphism $M/\mathfrak aM \to N/\mathfrak aN$ is surjective, then $f$ it's surjective.

Where is finitely generated used in the proof below.

Annihilator of a quotient module over a local ring

A word problem in abelian $p$-groups

Is every finite group finitely presented? (From Michael Artin's book)

Is the FC-center of a finitely generated group itself finitely generated?

$M_a =\{ f\in C[0,1] |\ f(a)=0 \}$ for $a$ $\in$ $[0,1]$. Is $M_a$ finitely generated in $C[0,1]$?

Finitely generated vs presented

Checking that a set is a finitely generated ideal

Determining the Order of a Finitely Generated Abelian Group from the Order of its Generators

Is a submonoid of a commutative, finitely generated monoid, always finitely generated?

$A \oplus M$ is Noetherian iff $A$ is Noetherian and $M$ is a f.g. $A$-module

Express an abelian group given as finite generators and their relations as a direct sum of cyclic groups and find corresponding generators.

Example of submodule which has higher "rank" than the module

What is the relationship between prime ideals and their generators?

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