Question

Proof of a generator for coprime integers

score 1.1k · Answer 1 · 2015-02-18 09:20:47

1.1k

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Proof of a generator for coprime integers

Published on 18 Feb 2015 - 9:20

score 1.6k · Answer 2 · 2015-02-23 14:27:48

1.6k

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Can I recover a group by its homomorphisms?

Published on 23 Feb 2015 - 14:27

score 665 · Answer 3 · 2015-02-24 10:52:41

665

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Proalgebraic completion.

Published on 24 Feb 2015 - 10:52

score 248 · Answer 4 · 2015-02-25 01:03:26

248

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Quotients of finitely generated module are direct summands implies module is semisimple

Published on 25 Feb 2015 - 1:03

score 223 · Answer 5 · 2015-03-12 19:45:07

223

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A property for finitely generated modules

Published on 12 Mar 2015 - 19:45

score 375 · Answer 6 · 2015-04-09 15:30:06

375

Views

In any commutative ring with unity, every prime ideal is finitely generated implies every ideal is finitely generated; can it be prove without A.C.?

Published on 09 Apr 2015 - 15:30

score 205 · Answer 7 · 2015-04-09 15:35:35

205

Views

In every ring with unity satisfying ACC, every ideal is finitely generated; can we prove it without assuming Axiom of choice?

Published on 09 Apr 2015 - 15:35

score 105 · Answer 8 · 2015-04-18 16:08:25

105

Views

Finitely generated modules and submodules

Published on 18 Apr 2015 - 16:08

score 1.7k · Answer 9 · 2015-04-18 22:20:17

1.7k

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$\mathbb Z[1/2]$ is not finitely generated?

Published on 18 Apr 2015 - 22:20

score 70 · Answer 10 · 2015-04-21 11:03:10

70

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Invariant factors of a subgroup of a subgroup of $\mathbb{Z}^2$

Published on 21 Apr 2015 - 11:03

score 620 · Answer 11 · 2015-04-21 20:56:30

620

Views

Short exact sequence of modules over a Noetherian local ring of depth $1$.

Published on 21 Apr 2015 - 20:56

score 368 · Answer 12 · 2015-04-23 17:46:52

368

Views

Is there a counterexample for the claim: if $A \oplus B\cong A\oplus C$ then $B\cong C$?

Published on 23 Apr 2015 - 17:46

score 47 · Answer 13 · 2015-04-24 03:02:38

47

Views

Are there terminologies distinguishing these two ranks?

Published on 24 Apr 2015 - 3:02

score 88 · Answer 14 · 2015-04-26 11:15:50

88

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Let $F$ be a field and $R$ a finitely generated $F$-algebra. Let $P$ be a maximal ideal of $R$. Then $\dim(R/P)$ as a vector space over $F$ is finite.

Published on 26 Apr 2015 - 11:15

score 280 · Answer 15 · 2026-03-25 22:04:08

280

Views

Is there a classification of f.g. abelian-by-finite groups? [EDITED]

Published on 25 Mar 2026 - 22:04

List Question

Proof of a generator for coprime integers

Can I recover a group by its homomorphisms?

Proalgebraic completion.

Quotients of finitely generated module are direct summands implies module is semisimple

A property for finitely generated modules

In any commutative ring with unity, every prime ideal is finitely generated implies every ideal is finitely generated; can it be prove without A.C.?

In every ring with unity satisfying ACC, every ideal is finitely generated; can we prove it without assuming Axiom of choice?

Finitely generated modules and submodules

$\mathbb Z[1/2]$ is not finitely generated?

Invariant factors of a subgroup of a subgroup of $\mathbb{Z}^2$

Short exact sequence of modules over a Noetherian local ring of depth $1$.

Is there a counterexample for the claim: if $A \oplus B\cong A\oplus C$ then $B\cong C$?

Are there terminologies distinguishing these two ranks?

Let $F$ be a field and $R$ a finitely generated $F$-algebra. Let $P$ be a maximal ideal of $R$. Then $\dim(R/P)$ as a vector space over $F$ is finite.

Is there a classification of f.g. abelian-by-finite groups? [EDITED]

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