Question

Is $\mathbb{C}$ projective as a $\mathbb{C}[x,y]/(x^3,y^3,xy)$-module?

score 214 · Answer 1 · 2016-11-07 06:59:07

214

Views

Is $\mathbb{C}$ projective as a $\mathbb{C}[x,y]/(x^3,y^3,xy)$-module?

Published on 07 Nov 2016 - 6:59

score 105 · Answer 2 · 2026-03-25 07:44:47

105

Views

$M$ and $N$ equal in $K_0$ $\Rightarrow$ $\exists P$ such that $M\oplus P\cong N\oplus P$

Published on 25 Mar 2026 - 7:44

score 384 · Answer 3 · 2026-03-26 18:49:38

384

Views

Projective injective modules over algebras.

Published on 26 Mar 2026 - 18:49

score 259 · Answer 4 · 2016-11-20 14:33:04

259

Views

$I$ be an ideal of $R$ containing non-zero zero-divisors , then $R/I$ cannot be a projective $R$-module?

Published on 20 Nov 2016 - 14:33

score 484 · Answer 5 · 2026-03-25 12:30:38

484

Views

Decomposition to indecomposable projective $A-$modules

Published on 25 Mar 2026 - 12:30

score 695 · Answer 6 · 2016-12-09 15:39:13

695

Views

Is $R^n$ projective as a $M_n(R)$-module?

Published on 09 Dec 2016 - 15:39

score 299 · Answer 7 · 2016-12-13 23:22:05

299

Views

Showing that chain complex of projectives homotopic to zero chain complex

Published on 13 Dec 2016 - 23:22

score 412 · Answer 8 · 2016-12-26 21:16:16

412

Views

On the proof of the factoriality of regular local rings

Published on 26 Dec 2016 - 21:16

score 197 · Answer 9 · 2017-01-17 20:18:54

197

Views

Is $\mathbb{Z}[\frac{1}{p}]$ a projective $\mathbb{Z}$-module, where $p$ is a fixed prime?

Published on 17 Jan 2017 - 20:18

score 492 · Answer 10 · 2017-01-19 12:26:34

492

Views

What are the projective resolutions of the $\mathbb{Z}$-modules $\mathbb{Z}_{p^{\infty}}$ and $\mathbb{Z}[\frac{1}{p}]$?

Published on 19 Jan 2017 - 12:26

score 98 · Answer 11 · 2026-03-25 07:43:38

98

Views

Morita equivalence applicable to deduce the strong no loop conjecture from special case?

Published on 25 Mar 2026 - 7:43

score 165 · Answer 12 · 2017-01-28 11:09:48

165

Views

Non existence of projective covers in $\mathbb ZG$-mod.

Published on 28 Jan 2017 - 11:09

score 55 · Answer 13 · 2017-02-09 11:55:42

55

Views

Use of "field or C.D.V.R." hypothesis in a theorem

Published on 09 Feb 2017 - 11:55

score 2.2k · Answer 14 · 2017-02-14 06:35:01

2.2k

Views

If $P$ is a finitely generated projective $R$-Module, then $\operatorname{Hom}_R(P,R)$ is projective.

Published on 14 Feb 2017 - 6:35

score 412 · Answer 15 · 2026-03-28 00:56:26

412

Views

Is $D\otimes_{R}A\cong \mathrm{Hom}_{R}(D,A)$ ever true if $D$ is a projective $R$-module?

Published on 28 Mar 2026 - 0:56

List Question

Is $\mathbb{C}$ projective as a $\mathbb{C}[x,y]/(x^3,y^3,xy)$-module?

$M$ and $N$ equal in $K_0$ $\Rightarrow$ $\exists P$ such that $M\oplus P\cong N\oplus P$

Projective injective modules over algebras.

$I$ be an ideal of $R$ containing non-zero zero-divisors , then $R/I$ cannot be a projective $R$-module?

Decomposition to indecomposable projective $A-$modules

Is $R^n$ projective as a $M_n(R)$-module?

Showing that chain complex of projectives homotopic to zero chain complex

On the proof of the factoriality of regular local rings

Is $\mathbb{Z}[\frac{1}{p}]$ a projective $\mathbb{Z}$-module, where $p$ is a fixed prime?

What are the projective resolutions of the $\mathbb{Z}$-modules $\mathbb{Z}_{p^{\infty}}$ and $\mathbb{Z}[\frac{1}{p}]$?

Morita equivalence applicable to deduce the strong no loop conjecture from special case?

Non existence of projective covers in $\mathbb ZG$-mod.

Use of "field or C.D.V.R." hypothesis in a theorem

If $P$ is a finitely generated projective $R$-Module, then $\operatorname{Hom}_R(P,R)$ is projective.

Is $D\otimes_{R}A\cong \mathrm{Hom}_{R}(D,A)$ ever true if $D$ is a projective $R$-module?

Trending Questions

Popular # Hahtags

Popular Questions