Question

Is $B$ a finitely generated $R$-module?

score 262 · Answer 1 · 2026-04-11 19:00:35

262

Views

Is $B$ a finitely generated $R$-module?

Published on 11 Apr 2026 - 19:00

score 164 · Answer 2 · 2026-04-12 21:54:21

164

Views

Simple module over $ֿ\mathbb{Z}G$ has a $\mathbb{Z}N$ composition series when $N \triangleleft G$ is nilpotent and of finite-index

Published on 12 Apr 2026 - 21:54

score 312 · Answer 3 · 2026-04-11 05:22:55

312

Views

Is surjectivity of a map in a long exact sequence equivalent to the following element being zero?

Published on 11 Apr 2026 - 5:22

score 152 · Answer 4 · 2026-04-10 13:56:18

152

Views

$\det \varphi$ is not a zero divisor $\implies$ Endomorphism $\varphi$ of a free $R$-Module injective

Published on 10 Apr 2026 - 13:56

score 57 · Answer 5 · 2026-03-25 09:22:17

57

Views

$\widehat{\mathbb{Z}}$-module structure

Published on 25 Mar 2026 - 9:22

score 393 · Answer 6 · 2026-03-25 23:16:14

393

Views

Every finitely generated free Module over a commutative Ring is flat

Published on 25 Mar 2026 - 23:16

score 43 · Answer 7 · 2026-04-10 17:57:42

43

Views

Are free Artinian modules finitely generated?

Published on 10 Apr 2026 - 17:57

score 517 · Answer 8 · 2026-04-12 17:04:31

517

Views

Finitely generated vector spaces are Noetherian and Artinian.

Published on 12 Apr 2026 - 17:04

score 53 · Answer 9 · 2026-03-31 21:58:00

53

Views

$R$-module homomorphism

Published on 31 Mar 2026 - 21:58

score 217 · Answer 10 · 2026-03-26 03:09:29

217

Views

Realizing a module structure with endomorphisms

Published on 26 Mar 2026 - 3:09

score 66 · Answer 11 · 2026-04-03 04:57:44

66

Views

Find two factorizations of $x^2 -4 \pmod{4}$.

Published on 03 Apr 2026 - 4:57

score 193 · Answer 12 · 2026-04-12 22:48:50

193

Views

Linear maps on irreducible representation of G

Published on 12 Apr 2026 - 22:48

score 590 · Answer 13 · 2026-04-11 19:24:39

590

Views

Why is $\mathbb{Z}_{6}$ a free $\mathbb{Z}_{6}$ module?

Published on 11 Apr 2026 - 19:24

score 37 · Answer 14 · 2026-03-25 12:49:46

37

Views

If $f_x$ is injective whenever it is surjective on $M$, then is $f_x$ injective whenever it is surjective on $\bigoplus_{i\in \Bbb N}M$?

Published on 25 Mar 2026 - 12:49

score 50 · Answer 15 · 2020-07-11 19:57:14

50

Views

Suppose $A$ is Artinian and commutative with 1. If $J(A)M=M$, then $M=\{0\}$. $J(A)$ is the Jacobson radical of A.

Published on 11 Jul 2020 - 19:57

List Question

Is $B$ a finitely generated $R$-module?

Simple module over $ֿ\mathbb{Z}G$ has a $\mathbb{Z}N$ composition series when $N \triangleleft G$ is nilpotent and of finite-index

Is surjectivity of a map in a long exact sequence equivalent to the following element being zero?

$\det \varphi$ is not a zero divisor $\implies$ Endomorphism $\varphi$ of a free $R$-Module injective

$\widehat{\mathbb{Z}}$-module structure

Every finitely generated free Module over a commutative Ring is flat

Are free Artinian modules finitely generated?

Finitely generated vector spaces are Noetherian and Artinian.

$R$-module homomorphism

Realizing a module structure with endomorphisms

Find two factorizations of $x^2 -4 \pmod{4}$.

Linear maps on irreducible representation of G

Why is $\mathbb{Z}_{6}$ a free $\mathbb{Z}_{6}$ module?

If $f_x$ is injective whenever it is surjective on $M$, then is $f_x$ injective whenever it is surjective on $\bigoplus_{i\in \Bbb N}M$?

Suppose $A$ is Artinian and commutative with 1. If $J(A)M=M$, then $M=\{0\}$. $J(A)$ is the Jacobson radical of A.

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