Question

For $d\mid m$, $\mathbb{Z}/d\mathbb{Z}$ is not an injective $\mathbb{Z}/m\mathbb{Z}$-module when some prime divides $d$ and $\frac{m}{d}$

score 431 · Answer 1 · 2026-05-10 13:34:40

431

Views

For $d\mid m$, $\mathbb{Z}/d\mathbb{Z}$ is not an injective $\mathbb{Z}/m\mathbb{Z}$-module when some prime divides $d$ and $\frac{m}{d}$

Published on 10 May 2026 - 13:34

score 88 · Answer 2 · 2026-05-13 02:09:21

88

Views

How does the closed schemes between $X$ and $X_{red}$ look like?

Published on 13 May 2026 - 2:09

score 304 · Answer 3 · 2026-05-14 11:34:37

304

Views

About Groups and Isomorphic Quotients

Published on 14 May 2026 - 11:34

score 111 · Answer 4 · 2026-04-13 16:25:59

111

Views

Minimum splitting field of the polynomial over GF(2)

Published on 13 Apr 2026 - 16:25

score 60 · Answer 5 · 2026-04-15 00:38:04

60

Views

Simplicity of the group $A_n$

Published on 15 Apr 2026 - 0:38

score 459 · Answer 6 · 2026-04-17 13:41:25

459

Views

Defining a bijection from kernel of homomorphism to Image of G. (NO isomorphism theorems)

Published on 17 Apr 2026 - 13:41

score 109 · Answer 7 · 2026-05-14 12:56:17

109

Views

Is there a subgroup of $S_7$ that's isomorphic to $\Bbb Z_2\times \Bbb Z_4$?

Published on 14 May 2026 - 12:56

score 51 · Answer 8 · 2026-04-13 01:57:23

51

Views

Ideal generated by $\langle a, b, c \rangle$ and $\langle a^{15}, b^{16}, c^{17} \rangle$?

Published on 13 Apr 2026 - 1:57

score 1.4k · Answer 9 · 2026-04-13 21:08:14

1.4k

Views

Number of fixed points of a group action

Published on 13 Apr 2026 - 21:08

score 33 · Answer 10 · 2026-04-15 18:56:19

33

Views

$\Bbb Q\cap\Bbb Z[\frac{1+\sqrt n}2]=\Bbb Z$ when $n=4k+1$ is square-free

Published on 15 Apr 2026 - 18:56

score 2.4k · Answer 11 · 2026-04-11 07:57:51

2.4k

Views

Vector Spaces: Understanding the basics

Published on 11 Apr 2026 - 7:57

score 121 · Answer 12 · 2026-04-12 13:08:49

121

Views

Problem in understanding a theorem in A book of abstract algebra - Charles C Pinter (Chapter 31)

Published on 12 Apr 2026 - 13:08

score 84 · Answer 13 · 2026-04-14 08:40:58

84

Views

Parity of order of intersection of cyclic and noncyclic subgroups

Published on 14 Apr 2026 - 8:40

score 39 · Answer 14 · 2026-04-12 18:58:51

39

Views

Is the radical of an algebra a maximal ideal?

Published on 12 Apr 2026 - 18:58

score 66 · Answer 15 · 2026-04-12 05:51:31

66

Views

$\mathbb{C}^3$ as a pointwise alegbra has only one simple module: true or false?

Published on 12 Apr 2026 - 5:51

List Question

For $d\mid m$, $\mathbb{Z}/d\mathbb{Z}$ is not an injective $\mathbb{Z}/m\mathbb{Z}$-module when some prime divides $d$ and $\frac{m}{d}$

How does the closed schemes between $X$ and $X_{red}$ look like?

About Groups and Isomorphic Quotients

Minimum splitting field of the polynomial over GF(2)

Simplicity of the group $A_n$

Defining a bijection from kernel of homomorphism to Image of G. (NO isomorphism theorems)

Is there a subgroup of $S_7$ that's isomorphic to $\Bbb Z_2\times \Bbb Z_4$?

Ideal generated by $\langle a, b, c \rangle$ and $\langle a^{15}, b^{16}, c^{17} \rangle$?

Number of fixed points of a group action

$\Bbb Q\cap\Bbb Z[\frac{1+\sqrt n}2]=\Bbb Z$ when $n=4k+1$ is square-free

Vector Spaces: Understanding the basics

Problem in understanding a theorem in A book of abstract algebra - Charles C Pinter (Chapter 31)

Parity of order of intersection of cyclic and noncyclic subgroups

Is the radical of an algebra a maximal ideal?

$\mathbb{C}^3$ as a pointwise alegbra has only one simple module: true or false?

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