Question

Skew-symmetric implies alternating for $2$ a zero divisor in $R$?

score 167 · Answer 1 · 2026-03-25 10:55:28

167

Views

Skew-symmetric implies alternating for $2$ a zero divisor in $R$?

Published on 25 Mar 2026 - 10:55

score 124 · Answer 2 · 2019-02-22 09:50:40

124

Views

Cokernel in Categories of Module (Exercise 4.4 in Blyth's book)

Published on 22 Feb 2019 - 9:50

score 351 · Answer 3 · 2026-03-25 22:23:56

351

Views

Counterexample: surjective module homomorphism in an exact sequence

Published on 25 Mar 2026 - 22:23

score 194 · Answer 4 · 2026-03-25 11:13:15

194

Views

Finding the submodules of the $\mathbb{R}[x]$-module defined by $A=\begin{bmatrix} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 &0 & -1 \end{bmatrix} $

Published on 25 Mar 2026 - 11:13

score 91 · Answer 5 · 2026-03-25 06:50:37

91

Views

Is $M=\frac{\mathbb{Z}^3}{\langle (3,3,1),(2,2,2)\rangle}$ free?

Published on 25 Mar 2026 - 6:50

score 87 · Answer 6 · 2026-03-25 22:23:56

87

Views

Proof-verification: Show that there exists an exact sequence

Published on 25 Mar 2026 - 22:23

score 38 · Answer 7 · 2019-02-22 18:55:33

38

Views

In which I forget what a module is.

Published on 22 Feb 2019 - 18:55

score 652 · Answer 8 · 2026-03-25 09:29:49

652

Views

Prove $(F/R) \otimes_R (F/R)=0$ for $R$ an integral domain and $F$ its field of fractions

Published on 25 Mar 2026 - 9:29

score 61 · Answer 9 · 2019-02-24 16:24:08

61

Views

How a monoid category of bimodules is constructed by a balanced tensor?

Published on 24 Feb 2019 - 16:24

score 263 · Answer 10 · 2019-02-24 23:12:30

263

Views

If $\psi(m+IM)=\phi(m)+IN$ for an R-module homomorphism $\phi$, why is $\psi(M/IM)=(\phi(M)+IN)/IN$?

Published on 24 Feb 2019 - 23:12

score 2k · Answer 11 · 2026-03-28 13:36:28

2k

Views

An Example of a Torsion Module

Published on 28 Mar 2026 - 13:36

score 142 · Answer 12 · 2026-03-25 09:37:21

142

Views

What is the module and sheaf of differentials (actually)?

Published on 25 Mar 2026 - 9:37

score 188 · Answer 13 · 2019-02-25 16:14:44

188

Views

If $M$ isn't semisimple, then the radical is not trivial.

Published on 25 Feb 2019 - 16:14

score 36 · Answer 14 · 2019-02-25 16:46:44

36

Views

$A \cong D \subseteq B$ and $B/D \cong C$, is there any operation s.t $B$ can be "constructed" by combining $A$ and $C$ with that operation?

Published on 25 Feb 2019 - 16:46

score 187 · Answer 15 · 2026-03-25 13:59:30

187

Views

FP-injective , injective and pure R-module

Published on 25 Mar 2026 - 13:59

List Question

Skew-symmetric implies alternating for $2$ a zero divisor in $R$?

Cokernel in Categories of Module (Exercise 4.4 in Blyth's book)

Counterexample: surjective module homomorphism in an exact sequence

Finding the submodules of the $\mathbb{R}[x]$-module defined by $A=\begin{bmatrix} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 &0 & -1 \end{bmatrix} $

Is $M=\frac{\mathbb{Z}^3}{\langle (3,3,1),(2,2,2)\rangle}$ free?

Proof-verification: Show that there exists an exact sequence

In which I forget what a module is.

Prove $(F/R) \otimes_R (F/R)=0$ for $R$ an integral domain and $F$ its field of fractions

How a monoid category of bimodules is constructed by a balanced tensor?

If $\psi(m+IM)=\phi(m)+IN$ for an R-module homomorphism $\phi$, why is $\psi(M/IM)=(\phi(M)+IN)/IN$?

An Example of a Torsion Module

What is the module and sheaf of differentials (actually)?

If $M$ isn't semisimple, then the radical is not trivial.

$A \cong D \subseteq B$ and $B/D \cong C$, is there any operation s.t $B$ can be "constructed" by combining $A$ and $C$ with that operation?

FP-injective , injective and pure R-module

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