List questions from ring-homomorphism

Published on 26 May 2020 - 22:26

124

Views

Is the ring $3\mathbb Z$ a ring homomorphic image of the ring $2\mathbb Z$.

Published on 25 Mar 2026 - 6:03

50

Views

Confusion about faithful homomorphism

Published on 27 May 2020 - 16:11

68

Views

Is there any way to visualize Ring structure using Cayley digraph?

Published on 28 May 2020 - 16:49

116

Views

Characterization of Injective rings homomorphism from $\mathbb{Z}_m$ to $\mathbb{Z}_n$

Published on 25 Mar 2026 - 4:41

58

Views

$(\mathbb{Z}/18\mathbb{Z})/(6\mathbb{Z}/18\mathbb{Z})\cong\mathbb{Z}/6\mathbb{Z}$ Proof

Published on 30 May 2020 - 15:08

350

Views

extending ring homomorphism into fields

Published on 01 Jun 2020 - 10:40

36

Views

How to prove that $(\Bbb{Z}[t]+t\Bbb{R}[t])/t\Bbb{R}[t]\cong\Bbb{Z}\cong\Bbb{Z}[t]/t\Bbb{Z}[t]\cong\Bbb{Z}[t]/(\Bbb{Z}[t]\cap t\Bbb{R}[t])$?

Published on 25 Mar 2026 - 18:57

45

Views

For which ideal $I$ of $\Bbb Z[t]$ is $\mathbb{Z}[t]/I\cong\Bbb Z_{11}$?

Published on 25 Mar 2026 - 18:57

31

Views

Find a ring homomorphism $\theta$ s.t. Ker $\theta = \mathbb{Z}_6 \times \{[0]\}$.

Published on 02 Jun 2020 - 22:17

149

Views

A module over PID

Published on 20 Mar 2026 - 10:11

78

Views

$\varphi(u)$ is invertible in $R'$ iff no invertible element of $R$ belongs to $\ker \varphi$.

Published on 07 Jun 2020 - 9:18

117

Views

Subjectivity of evaluation homomorphism

Published on 08 Jun 2020 - 7:55

371

Views

Primary decomposition of an ideal and its extension

Published on 25 Mar 2026 - 14:24

48

Views

Non-trivial homomorphism from $\mathbb{Z}[x]/\langle x^n-1 \rangle$ to $\mathbb{Z}_m[x]/\langle x^n+1 \rangle$?

Published on 17 Jun 2020 - 1:55

List Question

Would there be homomorphism?

Is the ring $3\mathbb Z$ a ring homomorphic image of the ring $2\mathbb Z$.

Confusion about faithful homomorphism

Is there any way to visualize Ring structure using Cayley digraph?

Characterization of Injective rings homomorphism from $\mathbb{Z}_m$ to $\mathbb{Z}_n$

$(\mathbb{Z}/18\mathbb{Z})/(6\mathbb{Z}/18\mathbb{Z})\cong\mathbb{Z}/6\mathbb{Z}$ Proof

extending ring homomorphism into fields

How to prove that $(\Bbb{Z}[t]+t\Bbb{R}[t])/t\Bbb{R}[t]\cong\Bbb{Z}\cong\Bbb{Z}[t]/t\Bbb{Z}[t]\cong\Bbb{Z}[t]/(\Bbb{Z}[t]\cap t\Bbb{R}[t])$?

For which ideal $I$ of $\Bbb Z[t]$ is $\mathbb{Z}[t]/I\cong\Bbb Z_{11}$?

Find a ring homomorphism $\theta$ s.t. Ker $\theta = \mathbb{Z}_6 \times \{[0]\}$.

A module over PID

$\varphi(u)$ is invertible in $R'$ iff no invertible element of $R$ belongs to $\ker \varphi$.

Subjectivity of evaluation homomorphism

Primary decomposition of an ideal and its extension

Non-trivial homomorphism from $\mathbb{Z}[x]/\langle x^n-1 \rangle$ to $\mathbb{Z}_m[x]/\langle x^n+1 \rangle$?

Trending Questions

Popular # Hahtags

Popular Questions