Question

Cancelling finitely generated projective modules from a tensor product of finitely generated projective modules

score 159 · Answer 1 · 2026-04-11 17:55:14

159

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Cancelling finitely generated projective modules from a tensor product of finitely generated projective modules

Published on 11 Apr 2026 - 17:55

score 856 · Answer 2 · 2026-05-10 22:30:52

856

Views

The condition for flat module is projective.

Published on 10 May 2026 - 22:30

score 87 · Answer 3 · 2026-04-17 07:46:09

87

Views

Prove the $R$-module isomorphism $P\oplus P\cong R\oplus R$

Published on 17 Apr 2026 - 7:46

score 380 · Answer 4 · 2026-04-09 06:22:12

380

Views

Injectivity and surjectivity of a transpose of a homomorphism of modules

Published on 09 Apr 2026 - 6:22

score 70 · Answer 5 · 2026-05-11 07:18:20

70

Views

Local characterization of projective modules

Published on 11 May 2026 - 7:18

score 66 · Answer 6 · 2026-04-12 15:54:19

66

Views

Projective module which is not locally free

Published on 12 Apr 2026 - 15:54

score 915 · Answer 7 · 2026-05-11 01:48:09

915

Views

If $E$ is a finitely generated projective module over a local ring $A$, then $E$ is free: Theorem X.4.4 in Lang's Algebra

Published on 11 May 2026 - 1:48

score 266 · Answer 8 · 2026-04-14 02:44:22

266

Views

Conditions to Make $\text{Hom}(M, N) \cong M^* \otimes N$.

Published on 14 Apr 2026 - 2:44

score 530 · Answer 9 · 2026-04-13 18:41:17

530

Views

Hom functor and direct sums

Published on 13 Apr 2026 - 18:41

score 269 · Answer 10 · 2026-04-11 09:26:03

269

Views

About morphisms to the direct sum of modules

Published on 11 Apr 2026 - 9:26

score 82 · Answer 11 · 2026-04-13 06:07:32

82

Views

Surjective map in a proof of Morita's theorem

Published on 13 Apr 2026 - 6:07

score 385 · Answer 12 · 2026-04-15 19:07:07

385

Views

Commutativity and Associativity in Infinite Direct Sums and Products of R-Modules

Published on 15 Apr 2026 - 19:07

score 146 · Answer 13 · 2026-04-17 07:33:06

146

Views

Module is $\mathbb{F}_2[S_3]$-projective iff it's $\mathbb{F}_2[S_2]$-projective.

Published on 17 Apr 2026 - 7:33

score 68 · Answer 14 · 2026-04-13 06:25:52

68

Views

False proof of faithful flatness

Published on 13 Apr 2026 - 6:25

score 167 · Answer 15 · 2026-05-13 14:38:24

167

Views

Dual modules and bimodules for noncommutative rings

Published on 13 May 2026 - 14:38

List Question

Cancelling finitely generated projective modules from a tensor product of finitely generated projective modules

The condition for flat module is projective.

Prove the $R$-module isomorphism $P\oplus P\cong R\oplus R$

Injectivity and surjectivity of a transpose of a homomorphism of modules

Local characterization of projective modules

Projective module which is not locally free

If $E$ is a finitely generated projective module over a local ring $A$, then $E$ is free: Theorem X.4.4 in Lang's Algebra

Conditions to Make $\text{Hom}(M, N) \cong M^* \otimes N$.

Hom functor and direct sums

About morphisms to the direct sum of modules

Surjective map in a proof of Morita's theorem

Commutativity and Associativity in Infinite Direct Sums and Products of R-Modules

Module is $\mathbb{F}_2[S_3]$-projective iff it's $\mathbb{F}_2[S_2]$-projective.

False proof of faithful flatness

Dual modules and bimodules for noncommutative rings

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