Question

To define a function from set {1,2} to any ring R

score 29 · Answer 1 · 2026-04-10 22:02:54

29

Views

To define a function from set {1,2} to any ring R

Published on 10 Apr 2026 - 22:02

score 318 · Answer 2 · 2026-05-10 13:27:15

318

Views

How can I find a finite generating set for the ideal $I \subset \mathbb C[x,y]$ generated by the set $\{y -x,y - x^2, y-x^3,\dots\}$?

Published on 10 May 2026 - 13:27

score 830 · Answer 3 · 2026-05-10 21:26:50

830

Views

Under what circumstances is $I$ a free R-module?

Published on 10 May 2026 - 21:26

score 58 · Answer 4 · 2026-04-09 20:44:17

58

Views

Write $(\mathbb{Z}\times\mathbb{Z})/\mathbb{Z}(20,30)$ as a direct product of cyclic groups.

Published on 09 Apr 2026 - 20:44

score 94 · Answer 5 · 2026-05-10 14:48:27

94

Views

Can the Artin-Rees lemma be derived from Krull Intersection theorem?

Published on 10 May 2026 - 14:48

score 44 · Answer 6 · 2026-05-10 17:13:32

44

Views

$\mathbb{Z}^k/A\mathbb{Z}^k \cong\mathbb{Z}^k/A'\mathbb{Z}^k$

Published on 10 May 2026 - 17:13

score 184 · Answer 7 · 2026-04-17 06:10:24

184

Views

Primary Decomposition Theorem clarification

Published on 17 Apr 2026 - 6:10

score 59 · Answer 8 · 2026-04-14 11:36:51

59

Views

Simple submodules of $\Bbb{C}S_4$-module $\Bbb{C}S_4$.

Published on 14 Apr 2026 - 11:36

score 56 · Answer 9 · 2026-05-10 13:47:19

56

Views

Simultaneous bases for free modules over PIDs?

Published on 10 May 2026 - 13:47

score 155 · Answer 10 · 2026-04-16 00:29:25

155

Views

If $R=R_1 \times R_2$ then $R_1,R_2$ as right $R$-modules don't have isomorphic submodules.

Published on 16 Apr 2026 - 0:29

score 371 · Answer 11 · 2026-04-09 20:29:06

371

Views

Is it possible to imbed any ring into a semi-simple ring?

Published on 09 Apr 2026 - 20:29

score 226 · Answer 12 · 2026-04-16 13:57:39

226

Views

$A$ is local and $A^n$ and $A^m$ are isomorphic as $A$-modules.

Published on 16 Apr 2026 - 13:57

score 1.2k · Answer 13 · 2026-04-08 16:58:24

1.2k

Views

About $\mathbb{Z}$-module homomorphisms

Published on 08 Apr 2026 - 16:58

score 262 · Answer 14 · 2026-04-15 03:10:05

262

Views

Projective, free and semisimple submodules of $R =\left(\begin{smallmatrix} K & K \\ 0 & K \end{smallmatrix}\right)$

Published on 15 Apr 2026 - 3:10

score 1.7k · Answer 15 · 2026-05-11 00:53:23

1.7k

Views

Abelian group is torsion if tensor product with reals is zero.

Published on 11 May 2026 - 0:53

List Question

To define a function from set {1,2} to any ring R

How can I find a finite generating set for the ideal $I \subset \mathbb C[x,y]$ generated by the set $\{y -x,y - x^2, y-x^3,\dots\}$?

Under what circumstances is $I$ a free R-module?

Write $(\mathbb{Z}\times\mathbb{Z})/\mathbb{Z}(20,30)$ as a direct product of cyclic groups.

Can the Artin-Rees lemma be derived from Krull Intersection theorem?

$\mathbb{Z}^k/A\mathbb{Z}^k \cong\mathbb{Z}^k/A'\mathbb{Z}^k$

Primary Decomposition Theorem clarification

Simple submodules of $\Bbb{C}S_4$-module $\Bbb{C}S_4$.

Simultaneous bases for free modules over PIDs?

If $R=R_1 \times R_2$ then $R_1,R_2$ as right $R$-modules don't have isomorphic submodules.

Is it possible to imbed any ring into a semi-simple ring?

$A$ is local and $A^n$ and $A^m$ are isomorphic as $A$-modules.

About $\mathbb{Z}$-module homomorphisms

Projective, free and semisimple submodules of $R =\left(\begin{smallmatrix} K & K \\ 0 & K \end{smallmatrix}\right)$

Abelian group is torsion if tensor product with reals is zero.

Trending Questions

Popular # Hahtags

Popular Questions