Question

A difficulty in understanding the proof of distributivity of tensor products over direct sums for modules.

score 768 · Answer 1 · 2026-03-26 20:44:14

768

Views

A difficulty in understanding the proof of distributivity of tensor products over direct sums for modules.

Published on 26 Mar 2026 - 20:44

score 63 · Answer 2 · 2019-02-17 01:55:54

63

Views

Why is $k[x_1] \to A$ not finite and $\phi(y)=x_1+x_2$ finite?

Published on 17 Feb 2019 - 1:55

score 71 · Answer 3 · 2026-03-25 07:41:54

71

Views

Question about a group algebra being not Artinian

Published on 25 Mar 2026 - 7:41

score 60 · Answer 4 · 2019-02-18 04:53:29

Let $M_i, i \in I$, be R-modules. Show that the (external) direct product $\prod_I M_i$ satisfies the following universal property

score 516 · Answer 5 · 2026-03-25 17:40:35

516

Views

Set of all R-homomorphism is finitely generated

Published on 25 Mar 2026 - 17:40

score 444 · Answer 6 · 2019-02-19 14:25:13

444

Views

Tensor product of a free module commutes with arbitrary intersection

Published on 19 Feb 2019 - 14:25

score 141 · Answer 7 · 2026-03-25 08:49:01

141

Views

If $ \operatorname{Ass}(M)= \operatorname{Assh}(M)$, then $M$ is a Cohen-Macaulay $R$-module?

Published on 25 Mar 2026 - 8:49

score 713 · Answer 8 · 2026-03-29 20:47:04

713

Views

Maps between short exact sequences

Published on 29 Mar 2026 - 20:47

score 223 · Answer 9 · 2019-02-20 06:04:25

223

Views

Module homomorphism is well defined

Published on 20 Feb 2019 - 6:04

score 58 · Answer 10 · 2026-03-25 22:26:02

58

Views

Show a sequence of R-modules and R-homomorphisms is exact.

Published on 25 Mar 2026 - 22:26

score 103 · Answer 11 · 2026-03-31 18:37:23

103

Views

Necessary and sufficient condition of injectivity for a module based on exact sequences

Published on 31 Mar 2026 - 18:37

score 53 · Answer 12 · 2019-02-20 20:18:11

53

Views

Representing certain linear maps on a direct sum decomposition of a free module of finite rank

Published on 20 Feb 2019 - 20:18

score 459 · Answer 13 · 2026-03-29 18:41:10

459

Views

Corollary of the Malgrange Preparation Theorem

Published on 29 Mar 2026 - 18:41

score 267 · Answer 14 · 2026-04-01 03:39:11

267

Views

Showing that $\frac{\mathbb{R}[x]}{\langle x \rangle}$ and $\frac{\mathbb{R}[x]}{\langle x-1 \rangle}$ are not isomorphic as $\mathbb{R}[x]$ modules.

Published on 01 Apr 2026 - 3:39

score 75 · Answer 15 · 2026-03-25 06:06:59

75

Views

Find the values of $a\in \mathbb{Z}[i]$ such that $(2,1)$ and $(2+i,a)$ form a basis of $\mathbb{Z}[i]^2$.

Published on 25 Mar 2026 - 6:06

List Question

A difficulty in understanding the proof of distributivity of tensor products over direct sums for modules.

Why is $k[x_1] \to A$ not finite and $\phi(y)=x_1+x_2$ finite?

Question about a group algebra being not Artinian

Let $M_i, i \in I$, be R-modules. Show that the (external) direct product $\prod_I M_i$ satisfies the following universal property

Set of all R-homomorphism is finitely generated

Tensor product of a free module commutes with arbitrary intersection

If $ \operatorname{Ass}(M)= \operatorname{Assh}(M)$, then $M$ is a Cohen-Macaulay $R$-module?

Maps between short exact sequences

Module homomorphism is well defined

Show a sequence of R-modules and R-homomorphisms is exact.

Necessary and sufficient condition of injectivity for a module based on exact sequences

Representing certain linear maps on a direct sum decomposition of a free module of finite rank

Corollary of the Malgrange Preparation Theorem

Showing that $\frac{\mathbb{R}[x]}{\langle x \rangle}$ and $\frac{\mathbb{R}[x]}{\langle x-1 \rangle}$ are not isomorphic as $\mathbb{R}[x]$ modules.

Find the values of $a\in \mathbb{Z}[i]$ such that $(2,1)$ and $(2+i,a)$ form a basis of $\mathbb{Z}[i]^2$.

Trending Questions

Popular # Hahtags

Popular Questions