Question

Does projectivity over the base ring imply projectivity over the extension?

score 86 · Answer 1 · 2014-09-10 14:37:39

86

Views

Does projectivity over the base ring imply projectivity over the extension?

Published on 10 Sep 2014 - 14:37

score 195 · Answer 2 · 2026-03-28 20:50:43

195

Views

A uniform module as an intersection

Published on 28 Mar 2026 - 20:50

score 152 · Answer 3 · 2014-09-11 13:35:54

152

Views

Reference about Tensor Product

Published on 11 Sep 2014 - 13:35

score 623 · Answer 4 · 2014-09-11 22:29:32

623

Views

Localization of a finitely generated module is trivial iff its annihilator is nontrivial

Published on 11 Sep 2014 - 22:29

score 617 · Answer 5 · 2014-09-12 01:44:40

617

Views

Intersection of all associated primes

Published on 12 Sep 2014 - 1:44

score 61 · Answer 6 · 2014-09-12 10:38:37

61

Views

How to show $\alpha=i_L$ and other equalities without using isomorphism?

Published on 12 Sep 2014 - 10:38

score 257 · Answer 7 · 2014-09-12 19:38:11

257

Views

Recovering free modules from their projective limit

Published on 12 Sep 2014 - 19:38

score 90 · Answer 8 · 2026-03-28 17:25:48

90

Views

$\ker (T \otimes id_{Z})=\ker(T)\otimes Z$

Published on 28 Mar 2026 - 17:25

score 368 · Answer 9 · 2014-09-13 18:04:02

368

Views

$\operatorname{End}(V)$ and $\operatorname{End}(V)\times\operatorname{End}(V)$ are isomorphic

Published on 13 Sep 2014 - 18:04

score 552 · Answer 10 · 2026-04-03 06:02:12

552

Views

The Freyd-Mitchell Embedding Theorem and projective (injective) objects

Published on 03 Apr 2026 - 6:02

score 402 · Answer 11 · 2026-03-28 21:06:34

402

Views

Complement but not direct summand; Lam, Lectures on Modules and Rings, Example 6.17(5)

Published on 28 Mar 2026 - 21:06

score 211 · Answer 12 · 2026-03-26 12:57:55

211

Views

If the factor of a finitely generated module is free then submodule is also finitely generated

Published on 26 Mar 2026 - 12:57

score 191 · Answer 13 · 2014-09-16 00:51:48

191

Views

If $R$ is a integral domain then $TM$ is torsion module

Published on 16 Sep 2014 - 0:51

score 190 · Answer 14 · 2014-09-16 10:17:24

190

Views

Injectivity of Inflation Homomorphism $H^1(G/K,A^K)\rightarrow H^1(G,A)$

Published on 16 Sep 2014 - 10:17

score 420 · Answer 15 · 2026-03-26 01:00:13

420

Views

Self-injective ring but not semisimple?

Published on 26 Mar 2026 - 1:00

List Question

Does projectivity over the base ring imply projectivity over the extension?

A uniform module as an intersection

Reference about Tensor Product

Localization of a finitely generated module is trivial iff its annihilator is nontrivial

Intersection of all associated primes

How to show $\alpha=i_L$ and other equalities without using isomorphism?

Recovering free modules from their projective limit

$\ker (T \otimes id_{Z})=\ker(T)\otimes Z$

$\operatorname{End}(V)$ and $\operatorname{End}(V)\times\operatorname{End}(V)$ are isomorphic

The Freyd-Mitchell Embedding Theorem and projective (injective) objects

Complement but not direct summand; Lam, Lectures on Modules and Rings, Example 6.17(5)

If the factor of a finitely generated module is free then submodule is also finitely generated

If $R$ is a integral domain then $TM$ is torsion module

Injectivity of Inflation Homomorphism $H^1(G/K,A^K)\rightarrow H^1(G,A)$

Self-injective ring but not semisimple?

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