Question

Deciding whether a non-f.g. non-divisible flat module is projective or not.

score 43 · Answer 1 · 2026-03-26 19:05:20

43

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Deciding whether a non-f.g. non-divisible flat module is projective or not.

Published on 26 Mar 2026 - 19:05

score 412 · Answer 2 · 2026-04-12 02:06:34

412

Views

Can we construct a homomorphism from a projective module into a free module?

Published on 12 Apr 2026 - 2:06

score 55 · Answer 3 · 2026-04-13 05:58:57

55

Views

If $M$ is an $A$-module via $\varphi\colon A\to\operatorname{End}(M)$, $\mathrm{coker}(\varphi)\otimes M$ is projective?

Published on 13 Apr 2026 - 5:58

score 77 · Answer 4 · 2026-04-15 09:18:10

77

Views

Projective dimension over a factor ring

Published on 15 Apr 2026 - 9:18

score 449 · Answer 5 · 2026-04-16 05:25:45

449

Views

Projective objects in BGG category $\mathcal{O}$ are projective $U(\mathfrak{g})$-modules?

Published on 16 Apr 2026 - 5:25

score 1.1k · Answer 6 · 2026-04-13 09:22:41

1.1k

Views

A Direct Summand of Finite-Free Module over a Local Ring is Again Free.

Published on 13 Apr 2026 - 9:22

score 1k · Answer 7 · 2026-04-15 16:18:03

1k

Views

Projective dimension of direct summand

Published on 15 Apr 2026 - 16:18

score 117 · Answer 8 · 2026-04-12 17:58:48

117

Views

Is this module over this group algebra projective?

Published on 12 Apr 2026 - 17:58

score 89 · Answer 9 · 2026-04-16 02:52:23

89

Views

Isomorphic modules

Published on 16 Apr 2026 - 2:52

score 1.8k · Answer 10 · 2026-04-15 14:37:56

1.8k

Views

Every finitely generated flat module over a ring with a finite number of minimal primes is projective

Published on 15 Apr 2026 - 14:37

score 189 · Answer 11 · 2026-04-15 18:23:44

189

Views

Why is $0\to\ker\varepsilon\to P_0\xrightarrow\varepsilon N\to 0$ a projective resolution?

Published on 15 Apr 2026 - 18:23

score 61 · Answer 12 · 2026-04-14 01:37:24

61

Views

Question on projective module

Published on 14 Apr 2026 - 1:37

score 495 · Answer 13 · 2026-04-12 00:37:43

495

Views

Projective module over $\mathbb{Z}_8$

Published on 12 Apr 2026 - 0:37

score 1.1k · Answer 14 · 2026-04-21 22:54:38

1.1k

Views

Projective resolutions of modules in a short exact sequence (Dummit & Foote Proposition 17.1.7)

Published on 21 Apr 2026 - 22:54

score 245 · Answer 15 · 2026-05-13 18:42:32

245

Views

In which algebraic theories do 'free' and 'projective' coincide?

Published on 13 May 2026 - 18:42

List Question

Deciding whether a non-f.g. non-divisible flat module is projective or not.

Can we construct a homomorphism from a projective module into a free module?

If $M$ is an $A$-module via $\varphi\colon A\to\operatorname{End}(M)$, $\mathrm{coker}(\varphi)\otimes M$ is projective?

Projective dimension over a factor ring

Projective objects in BGG category $\mathcal{O}$ are projective $U(\mathfrak{g})$-modules?

A Direct Summand of Finite-Free Module over a Local Ring is Again Free.

Projective dimension of direct summand

Is this module over this group algebra projective?

Isomorphic modules

Every finitely generated flat module over a ring with a finite number of minimal primes is projective

Why is $0\to\ker\varepsilon\to P_0\xrightarrow\varepsilon N\to 0$ a projective resolution?

Question on projective module

Projective module over $\mathbb{Z}_8$

Projective resolutions of modules in a short exact sequence (Dummit & Foote Proposition 17.1.7)

In which algebraic theories do 'free' and 'projective' coincide?

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