Question

Find all of homomorphisms $Φ$ from $\mathbb C$[$x$]/$I$ to $\mathbb C$ that satisfies specific condition

score 106 · Answer 1 · 2026-03-25 10:57:06

106

Views

Find all of homomorphisms $Φ$ from $\mathbb C$[$x$]/$I$ to $\mathbb C$ that satisfies specific condition

Published on 25 Mar 2026 - 10:57

score 376 · Answer 2 · 2026-03-26 03:01:36

376

Views

The localization of an ideal is equal to the localization of the ring

Published on 26 Mar 2026 - 3:01

score 485 · Answer 3 · 2019-02-12 03:01:06

485

Views

Show for any simple ring without identity, R, that R is a division ring.

Published on 12 Feb 2019 - 3:01

score 225 · Answer 4 · 2019-02-12 03:12:01

225

Views

Prove a subring of $R=\mathbb{Q}[i]$ is equal to $R$ itself or $\mathbb{Q}$

Published on 12 Feb 2019 - 3:12

score 173 · Answer 5 · 2026-03-30 11:40:08

173

Views

For an integral domain $R$, the rings $R\times R $ and $R\times R\times R$ are not isomorphic

Published on 30 Mar 2026 - 11:40

score 1k · Answer 6 · 2026-03-28 04:53:22

1k

Views

How to find the generator of the following ideals?

Published on 28 Mar 2026 - 4:53

score 105 · Answer 7 · 2019-02-12 18:11:42

105

Views

Why the universe of neural network is a ring K?

Published on 12 Feb 2019 - 18:11

score 152 · Answer 8 · 2026-03-30 11:37:18

152

Views

Is $(a)/(a^2)\cong R/(a)$, or something else? ; For ideals $(a), (a^2)\leq R$

Published on 30 Mar 2026 - 11:37

score 25 · Answer 9 · 2026-03-25 07:45:46

25

Views

$R$ UFD and integral domain $\Rightarrow$ every $a\neq 0 \in R\setminus R^\times$ is a product of prime elements

Published on 25 Mar 2026 - 7:45

score 116 · Answer 10 · 2026-04-03 16:11:11

116

Views

Is the trivial ring regular?

Published on 03 Apr 2026 - 16:11

score 1.1k · Answer 11 · 2026-03-26 02:57:58

1.1k

Views

Finding the field of fractions of a quotient of a polynomial ring.

Published on 26 Mar 2026 - 2:57

score 51 · Answer 12 · 2026-03-31 08:00:45

51

Views

What is the required homomorphism satisfying $f(c)=c$ for all $c\in R$ and $f(X)=aX+b$?

Published on 31 Mar 2026 - 8:00

score 541 · Answer 13 · 2026-04-03 20:00:08

541

Views

Computation of completion of a local ring

Published on 03 Apr 2026 - 20:00

score 20 · Answer 14 · 2026-04-01 10:23:59

20

Views

Do we have rings for which $(I:a)=(0:a)$ or for which $(I:a)\cong(0:a)?$

Published on 01 Apr 2026 - 10:23

score 39 · Answer 15 · 2026-03-22 03:20:00

39

Views

Simple ring that is not semi-simple

Published on 22 Mar 2026 - 3:20

List Question

Find all of homomorphisms $Φ$ from $\mathbb C$[$x$]/$I$ to $\mathbb C$ that satisfies specific condition

The localization of an ideal is equal to the localization of the ring

Show for any simple ring without identity, R, that R is a division ring.

Prove a subring of $R=\mathbb{Q}[i]$ is equal to $R$ itself or $\mathbb{Q}$

For an integral domain $R$, the rings $R\times R $ and $R\times R\times R$ are not isomorphic

How to find the generator of the following ideals?

Why the universe of neural network is a ring K?

Is $(a)/(a^2)\cong R/(a)$, or something else? ; For ideals $(a), (a^2)\leq R$

$R$ UFD and integral domain $\Rightarrow$ every $a\neq 0 \in R\setminus R^\times$ is a product of prime elements

Is the trivial ring regular?

Finding the field of fractions of a quotient of a polynomial ring.

What is the required homomorphism satisfying $f(c)=c$ for all $c\in R$ and $f(X)=aX+b$?

Computation of completion of a local ring

Do we have rings for which $(I:a)=(0:a)$ or for which $(I:a)\cong(0:a)?$

Simple ring that is not semi-simple

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