Question

$\text{Hom}_{k}(U \oplus V,W) \cong \text{Hom}_{k}(U,W) \oplus \text{Hom}_{k}(V,W)$

score 117 · Answer 1 · 2026-03-27 00:39:08

117

Views

$\text{Hom}_{k}(U \oplus V,W) \cong \text{Hom}_{k}(U,W) \oplus \text{Hom}_{k}(V,W)$

Published on 27 Mar 2026 - 0:39

score 2.4k · Answer 2 · 2018-06-01 02:32:58

2.4k

Views

What's the intuition behind a split exact sequence?

Published on 01 Jun 2018 - 2:32

score 78 · Answer 3 · 2018-06-01 17:31:01

78

Views

Module $M$ such that $Supp (M^n/N)=V(Ann (M^n /N))$ for every positive integer $n$ and every submodule $N$ of $M^n$

Published on 01 Jun 2018 - 17:31

score 39 · Answer 4 · 2018-06-01 22:08:04

39

Views

What do you call a semimodule in which the product of a non-zero vector by a non-zero scalar isn't zero?

Published on 01 Jun 2018 - 22:08

score 1.2k · Answer 5 · 2026-03-19 10:18:09

1.2k

Views

Smiths normal form is similar to $xI-A.$

Published on 19 Mar 2026 - 10:18

score 24 · Answer 6 · 2026-03-25 10:59:01

24

Views

Freeness of an action of $G$ on $X\leftrightarrow$ freeness of some $\mathbb Z[G]$-module?

Published on 25 Mar 2026 - 10:59

score 34 · Answer 7 · 2026-03-25 03:03:08

34

Views

On Noetherian ness as modules over base ring, of ideals, of an algebra

Published on 25 Mar 2026 - 3:03

score 82 · Answer 8 · 2018-06-03 19:14:33

82

Views

Additive Functors preserve Null Sequences

Published on 03 Jun 2018 - 19:14

score 344 · Answer 9 · 2026-03-22 17:43:37

344

Views

Element in a finitely generated torsion module on a PID with smallest non-zero annihilator

Published on 22 Mar 2026 - 17:43

score 162 · Answer 10 · 2018-06-04 18:06:05

162

Views

$R$ a DVR with fraction field $K.$ What are the $R$-submodules of $K^n?$

Published on 04 Jun 2018 - 18:06

score 44 · Answer 11 · 2018-06-04 23:37:16

44

Views

Kunneth Theorem for free chain complexes with free cycles and boundaries, over a graded commutative ring

Published on 04 Jun 2018 - 23:37

score 48 · Answer 12 · 2018-06-06 00:23:21

48

Views

Elementary lemma on modules over PID

Published on 06 Jun 2018 - 0:23

score 1.1k · Answer 13 · 2026-03-22 22:24:31

1.1k

Views

Let $R$ be a Noetherian Ring, then the category of $R$-modules has enough injectives

Published on 22 Mar 2026 - 22:24

score 103 · Answer 14 · 2026-03-26 14:33:03

103

Views

Do projective modules have a maximal submodule?

Published on 26 Mar 2026 - 14:33

score 415 · Answer 15 · 2026-03-22 10:19:55

415

Views

Can the averaging of a linear arrow of modules over a group algebra be described functorially?

Published on 22 Mar 2026 - 10:19

List Question

$\text{Hom}_{k}(U \oplus V,W) \cong \text{Hom}_{k}(U,W) \oplus \text{Hom}_{k}(V,W)$

What's the intuition behind a split exact sequence?

Module $M$ such that $Supp (M^n/N)=V(Ann (M^n /N))$ for every positive integer $n$ and every submodule $N$ of $M^n$

What do you call a semimodule in which the product of a non-zero vector by a non-zero scalar isn't zero?

Smiths normal form is similar to $xI-A.$

Freeness of an action of $G$ on $X\leftrightarrow$ freeness of some $\mathbb Z[G]$-module?

On Noetherian ness as modules over base ring, of ideals, of an algebra

Additive Functors preserve Null Sequences

Element in a finitely generated torsion module on a PID with smallest non-zero annihilator

$R$ a DVR with fraction field $K.$ What are the $R$-submodules of $K^n?$

Kunneth Theorem for free chain complexes with free cycles and boundaries, over a graded commutative ring

Elementary lemma on modules over PID

Let $R$ be a Noetherian Ring, then the category of $R$-modules has enough injectives

Do projective modules have a maximal submodule?

Can the averaging of a linear arrow of modules over a group algebra be described functorially?

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