Question

$f$ is a monomorphism $\Rightarrow$ $f$ is injective, alternative proof

score 546 · Answer 1 · 2026-04-16 07:22:10

546

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$f$ is a monomorphism $\Rightarrow$ $f$ is injective, alternative proof

Published on 16 Apr 2026 - 7:22

score 157 · Answer 2 · 2026-04-16 05:04:52

157

Views

Why should $\phi$ be a $R$-module linear map $M\rightarrow M$ in the following proposition?

Published on 16 Apr 2026 - 5:04

score 60 · Answer 3 · 2026-04-15 15:38:16

$\exists S \subset \mathbb{R}$ s.t. every $x \in \mathbb{R}$ can be represented as a unique linear combination of numbers with rational coefficients

score 49 · Answer 4 · 2026-04-14 04:03:29

49

Views

Characteristic fields and extensions

Published on 14 Apr 2026 - 4:03

score 729 · Answer 5 · 2026-04-14 23:02:09

729

Views

Proving a subgroup of the symmetric group $(S_z, ∘)$

Published on 14 Apr 2026 - 23:02

score 732 · Answer 6 · 2026-04-12 12:31:30

732

Views

Prove that every ideal in $\Bbb{Z}$ is a principal ideal.

Published on 12 Apr 2026 - 12:31

score 88 · Answer 7 · 2026-04-16 01:14:42

prove $G \cong H \times N$, $G= \{ a_{ij} \in GL_n(F) :a_{ij} =0 \text{ if } i > j \text{ and } a_{11} =a_{22} = \dots =a_{nn}\}$

score 3.3k · Answer 8 · 2026-04-16 16:22:21

3.3k

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Find all homomorphisms $\phi: \Bbb{Z}/6\Bbb{Z} \to \Bbb{Z}/15\Bbb{Z}$.

Published on 16 Apr 2026 - 16:22

score 309 · Answer 9 · 2026-04-20 06:58:46

309

Views

Explicit Formula for Cabling of Braids

Published on 20 Apr 2026 - 6:58

score 30 · Answer 10 · 2026-04-16 19:09:36

30

Views

find order of group $G= \{ a,d : a^{2n}=e, d^2 =a^n,da =a^{-1}d $

Published on 16 Apr 2026 - 19:09

score 35 · Answer 11 · 2026-04-14 10:18:55

35

Views

Show $Dic_{3} \not \cong D_{6}$

Published on 14 Apr 2026 - 10:18

score 66 · Answer 12 · 2026-04-14 09:54:50

66

Views

Minimal left ideals and their idempotens

Published on 14 Apr 2026 - 9:54

score 848 · Answer 13 · 2026-04-29 12:51:14

848

Views

Classification of finite rank Abelian groups

Published on 29 Apr 2026 - 12:51

score 434 · Answer 14 · 2026-03-25 23:53:09

434

Views

Is row 14, column 4 for pascals triangle is 186?

Published on 25 Mar 2026 - 23:53

score 378 · Answer 15 · 2026-04-11 20:21:36

378

Views

Proof on relationship between generators and order of a cyclic group.

Published on 11 Apr 2026 - 20:21

List Question

$f$ is a monomorphism $\Rightarrow$ $f$ is injective, alternative proof

Why should $\phi$ be a $R$-module linear map $M\rightarrow M$ in the following proposition?

$\exists S \subset \mathbb{R}$ s.t. every $x \in \mathbb{R}$ can be represented as a unique linear combination of numbers with rational coefficients

Characteristic fields and extensions

Proving a subgroup of the symmetric group $(S_z, ∘)$

Prove that every ideal in $\Bbb{Z}$ is a principal ideal.

prove $G \cong H \times N$, $G= \{ a_{ij} \in GL_n(F) :a_{ij} =0 \text{ if } i > j \text{ and } a_{11} =a_{22} = \dots =a_{nn}\}$

Find all homomorphisms $\phi: \Bbb{Z}/6\Bbb{Z} \to \Bbb{Z}/15\Bbb{Z}$.

Explicit Formula for Cabling of Braids

find order of group $G= \{ a,d : a^{2n}=e, d^2 =a^n,da =a^{-1}d $

Show $Dic_{3} \not \cong D_{6}$

Minimal left ideals and their idempotens

Classification of finite rank Abelian groups

Is row 14, column 4 for pascals triangle is 186?

Proof on relationship between generators and order of a cyclic group.

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