Question

Let $f$ be a surjective homomorphism. Prove that $\ker(f)$ is a maximal ideal

score 4.8k · Answer 1 · 2026-04-14 06:51:16

4.8k

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Let $f$ be a surjective homomorphism. Prove that $\ker(f)$ is a maximal ideal

Published on 14 Apr 2026 - 6:51

score 312 · Answer 2 · 2026-04-14 23:27:29

312

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Prove that an exact sequence splits

Published on 14 Apr 2026 - 23:27

score 202 · Answer 3 · 2026-04-11 00:23:05

202

Views

Application of Chinese remainder theorem

Published on 11 Apr 2026 - 0:23

score 523 · Answer 4 · 2026-04-14 14:03:11

523

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Looking for example of a commutative non-unital ring in which every maximal ideal is a prime ideal

Published on 14 Apr 2026 - 14:03

score 90 · Answer 5 · 2026-04-15 11:22:52

90

Views

If $x$ is an integer and $m$ is an element from a ring prove that $x(-m) = -(xm)$

Published on 15 Apr 2026 - 11:22

score 268 · Answer 6 · 2026-04-14 03:16:08

$m,n>1$ are relatively prime integers , then are there at-least four idempotent (w.r.t. multiplication) elements in $\mathbb Z_{mn}$ ?

score 496 · Answer 7 · 2026-04-13 08:37:47

496

Views

Maximal and prime ideals of $2 \mathbb Z$

Published on 13 Apr 2026 - 8:37

score 1.2k · Answer 8 · 2026-04-13 22:29:40

1.2k

Views

Is there an easy way to remember the ring axioms?

Published on 13 Apr 2026 - 22:29

score 167 · Answer 9 · 2026-04-13 22:31:55

167

Views

Finite Extension of Integral Domains.

Published on 13 Apr 2026 - 22:31

score 178 · Answer 10 · 2026-04-11 01:46:39

178

Views

Two properties related to semisimple rings

Published on 11 Apr 2026 - 1:46

score 75 · Answer 11 · 2026-04-15 21:51:52

75

Views

If a=b, how does a-b=0?

Published on 15 Apr 2026 - 21:51

score 3.4k · Answer 12 · 2026-04-14 01:22:21

3.4k

Views

Intersection of distinct maximal ideals in a commutative ring with identity.

Published on 14 Apr 2026 - 1:22

score 540 · Answer 13 · 2026-04-10 22:54:56

540

Views

Ring whose all ideals are double-sided is commutative?

Published on 10 Apr 2026 - 22:54

score 68 · Answer 14 · 2026-04-11 15:27:05

68

Views

A question about a system of congruent equations? Is there a unified proof by using ring theory?

Published on 11 Apr 2026 - 15:27

score 2.5k · Answer 15 · 2026-04-13 23:01:59

2.5k

Views

one to one correspondence of Ideals in a ring and its localization

Published on 13 Apr 2026 - 23:01

List Question

Let $f$ be a surjective homomorphism. Prove that $\ker(f)$ is a maximal ideal

Prove that an exact sequence splits

Application of Chinese remainder theorem

Looking for example of a commutative non-unital ring in which every maximal ideal is a prime ideal

If $x$ is an integer and $m$ is an element from a ring prove that $x(-m) = -(xm)$

$m,n>1$ are relatively prime integers , then are there at-least four idempotent (w.r.t. multiplication) elements in $\mathbb Z_{mn}$ ?

Maximal and prime ideals of $2 \mathbb Z$

Is there an easy way to remember the ring axioms?

Finite Extension of Integral Domains.

Two properties related to semisimple rings

If a=b, how does a-b=0?

Intersection of distinct maximal ideals in a commutative ring with identity.

Ring whose all ideals are double-sided is commutative?

A question about a system of congruent equations? Is there a unified proof by using ring theory?

one to one correspondence of Ideals in a ring and its localization

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