Question

If every homomorphic image of an injective module is also injective, then every submodule of a projective module is projective

score 232 · Answer 1 · 2026-03-28 00:50:54

232

Views

If every homomorphic image of an injective module is also injective, then every submodule of a projective module is projective

Published on 28 Mar 2026 - 0:50

score 39 · Answer 2 · 2026-03-27 23:37:57

39

Views

Finitness conditions under change of rings?

Published on 27 Mar 2026 - 23:37

score 50 · Answer 3 · 2026-03-27 23:37:49

50

Views

About vanishing of Tor of a morphism over a perfect ring?

Published on 27 Mar 2026 - 23:37

score 144 · Answer 4 · 2022-06-16 18:05:26

144

Views

Rank and restriction of scalars

Published on 16 Jun 2022 - 18:05

score 34 · Answer 5 · 2026-03-30 00:34:07

34

Views

Elements of $\mathrm{Hom}_{\mathbb{Z}}(\prod_{i\geq 0}\mathbb{Z}, \mathbb{Z})$ vanish on almost all elements of "standard basis" $\mathbb{e}_{n}$

Published on 30 Mar 2026 - 0:34

score 83 · Answer 6 · 2026-03-28 19:56:22

83

Views

When the thick closure (in bounded derived category) of every finitely generated module contains a non-exact perfect complex

Published on 28 Mar 2026 - 19:56

score 36 · Answer 7 · 2026-03-29 13:22:41

36

Views

Projective resolution of a $K[t]$-module.

Published on 29 Mar 2026 - 13:22

score 28 · Answer 8 · 2026-03-28 00:47:41

28

Views

does the flat pre-cover need to exist for a left module?

Published on 28 Mar 2026 - 0:47

score 67 · Answer 9 · 2026-03-26 01:11:45

67

Views

Isomorphism in Projective modules over the algebraic closure of a finite field Fp

Published on 26 Mar 2026 - 1:11

score 72 · Answer 10 · 2022-07-30 03:17:22

72

Views

Can a projective module be singular?

Published on 30 Jul 2022 - 3:17

score 300 · Answer 11 · 2022-08-08 04:10:53

300

Views

Can we classify all finitely generated projective modules over $k[x,y,x^{-1},y^{-1}]$?

Published on 08 Aug 2022 - 4:10

score 120 · Answer 12 · 2026-03-30 00:34:22

120

Views

The proof of Kaplansky's threorem

Published on 30 Mar 2026 - 0:34

score 77 · Answer 13 · 2022-09-19 08:21:52

77

Views

$\text{Hom}_k(P,P)$ is isomophic to $P\otimes_k \text{Hom}_k(P,k)$

Published on 19 Sep 2022 - 8:21

score 38 · Answer 14 · 2022-10-04 14:29:47

38

Views

Modules and homomorphisms

Published on 04 Oct 2022 - 14:29

score 180 · Answer 15 · 2026-03-29 18:14:40

180

Views

linear map between finitely generated free modules (over local ring) which become injective after tensoring with the residue field

Published on 29 Mar 2026 - 18:14

List Question

If every homomorphic image of an injective module is also injective, then every submodule of a projective module is projective

Finitness conditions under change of rings?

About vanishing of Tor of a morphism over a perfect ring?

Rank and restriction of scalars

Elements of $\mathrm{Hom}_{\mathbb{Z}}(\prod_{i\geq 0}\mathbb{Z}, \mathbb{Z})$ vanish on almost all elements of "standard basis" $\mathbb{e}_{n}$

When the thick closure (in bounded derived category) of every finitely generated module contains a non-exact perfect complex

Projective resolution of a $K[t]$-module.

does the flat pre-cover need to exist for a left module?

Isomorphism in Projective modules over the algebraic closure of a finite field Fp

Can a projective module be singular?

Can we classify all finitely generated projective modules over $k[x,y,x^{-1},y^{-1}]$?

The proof of Kaplansky's threorem

$\text{Hom}_k(P,P)$ is isomophic to $P\otimes_k \text{Hom}_k(P,k)$

Modules and homomorphisms

linear map between finitely generated free modules (over local ring) which become injective after tensoring with the residue field

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