Question

Embedding $\mathbb{Z}$-modules into injective $\mathbb{Z}$-modules

score 606 · Answer 1 · 2026-03-25 09:32:44

606

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Embedding $\mathbb{Z}$-modules into injective $\mathbb{Z}$-modules

Published on 25 Mar 2026 - 9:32

score 214 · Answer 2 · 2026-03-29 18:15:21

214

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Question on the annihilator $Ann_{\Bbb{Z}} (\Bbb{Z}_6)$ of $\Bbb{Z}_6$ in $\Bbb{Z}$.

Published on 29 Mar 2026 - 18:15

score 724 · Answer 3 · 2018-11-18 18:10:37

724

Views

Existence of "zero-divisors" over a module?

Published on 18 Nov 2018 - 18:10

score 841 · Answer 4 · 2026-03-26 19:35:44

841

Views

Generalized Schanuel Lemma

Published on 26 Mar 2026 - 19:35

score 48 · Answer 5 · 2026-03-25 11:03:16

48

Views

Is there a standard way to view a field $k$ as a $k[x]$ module?

Published on 25 Mar 2026 - 11:03

score 1.2k · Answer 6 · 2018-11-18 22:22:51

1.2k

Views

Computing projective resolutions over quotients of polynomial rings

Published on 18 Nov 2018 - 22:22

score 442 · Answer 7 · 2026-03-23 00:22:01

442

Views

Length of a module is sum of length of modules localization at each associated prime.

Published on 23 Mar 2026 - 0:22

score 125 · Answer 8 · 2026-03-26 19:03:47

125

Views

Finite Length Modules

Published on 26 Mar 2026 - 19:03

score 98 · Answer 9 · 2026-03-28 22:36:49

98

Views

Endomorphisms of irreducible submodules of simple algebras

Published on 28 Mar 2026 - 22:36

score 675 · Answer 10 · 2026-03-28 14:07:49

675

Views

Question on the equivalent definition of $R$-modules.

Published on 28 Mar 2026 - 14:07

score 23 · Answer 11 · 2018-11-20 06:01:42

23

Views

Finitely generated modules over a product of domains, where is finite generation/domain used?

Published on 20 Nov 2018 - 6:01

score 389 · Answer 12 · 2018-11-20 13:29:30

389

Views

If $M$ is an $R$ module, then why is the set $rM = \{rm : m\in M\}$ not an $R$ module if $R$ is not commutative?

Published on 20 Nov 2018 - 13:29

score 52 · Answer 13 · 2018-11-20 16:30:52

52

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Are $\mathbb{C}[x]/x^2 \otimes \mathbb{C}[x]/x^2$ and $\mathbb{C}[x]/x^2$ isomorphic as $\mathbb{C}[x]/x^2$-modules?

Published on 20 Nov 2018 - 16:30

score 276 · Answer 14 · 2026-03-25 06:10:16

276

Views

How could I construct a module $M$ that has exactly $n$ composition series?

Published on 25 Mar 2026 - 6:10

score 1.8k · Answer 15 · 2026-03-28 20:53:03

1.8k

Views

Quasi-Chinese Remainder Theorem for modules

Published on 28 Mar 2026 - 20:53

List Question

Embedding $\mathbb{Z}$-modules into injective $\mathbb{Z}$-modules

Question on the annihilator $Ann_{\Bbb{Z}} (\Bbb{Z}_6)$ of $\Bbb{Z}_6$ in $\Bbb{Z}$.

Existence of "zero-divisors" over a module?

Generalized Schanuel Lemma

Is there a standard way to view a field $k$ as a $k[x]$ module?

Computing projective resolutions over quotients of polynomial rings

Length of a module is sum of length of modules localization at each associated prime.

Finite Length Modules

Endomorphisms of irreducible submodules of simple algebras

Question on the equivalent definition of $R$-modules.

Finitely generated modules over a product of domains, where is finite generation/domain used?

If $M$ is an $R$ module, then why is the set $rM = \{rm : m\in M\}$ not an $R$ module if $R$ is not commutative?

Are $\mathbb{C}[x]/x^2 \otimes \mathbb{C}[x]/x^2$ and $\mathbb{C}[x]/x^2$ isomorphic as $\mathbb{C}[x]/x^2$-modules?

How could I construct a module $M$ that has exactly $n$ composition series?

Quasi-Chinese Remainder Theorem for modules

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