Question

Arrow symbol for homomorphism?

score 2.1k · Answer 1 · 2017-12-06 20:50:10

2.1k

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Arrow symbol for homomorphism?

Published on 06 Dec 2017 - 20:50

score 3.2k · Answer 2 · 2017-12-09 09:23:07

3.2k

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Counting homomorphisms between $\Bbb Z$ and $\Bbb Z_n$ and also between $\Bbb Z_n$ and $\Bbb Q$

Published on 09 Dec 2017 - 9:23

score 395 · Answer 3 · 2017-12-16 04:32:19

395

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For this ring homomorphism, show that $\ker f$ is a principal ideal and find an element that generates it

Published on 16 Dec 2017 - 4:32

score 332 · Answer 4 · 2017-12-31 17:55:02

332

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Ring Theory--Divisors and Roots of Polynomials

Published on 31 Dec 2017 - 17:55

score 554 · Answer 5 · 2018-01-09 06:10:12

554

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Find all field homomorphisms of $\mathbb{Q}(\sqrt[3]{2})$ and $\mathbb{Q}(\sqrt[3]{2}, \sqrt[3]{2} e^{\frac{2 \pi i}{3}})$

Published on 09 Jan 2018 - 6:10

score 416 · Answer 6 · 2018-01-12 02:24:39

416

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Question about inclusion map

Published on 12 Jan 2018 - 2:24

score 1.5k · Answer 7 · 2011-09-09 04:38:04

1.5k

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Showing two ring homomorphisms that agree on the integers must agree on the rationals

Published on 09 Sep 2011 - 4:38

score 1k · Answer 8 · 2026-03-26 19:20:08

1k

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Hom of the direct product of $\mathbb{Z}_{n}$ to the rationals is nonzero.

Published on 26 Mar 2026 - 19:20

score 104 · Answer 9 · 2020-08-02 21:12:42

104

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Let $R$ be the Ring of all functions in $\mathscr{C}^{0}[0, 1]$

Published on 02 Aug 2020 - 21:12

score 412 · Answer 10 · 2020-08-11 12:49:05

Let $R$ be a commutative ring with unity and $f:R \to R$ be a ring homomorphism. If $S = \{a \in R | f(a)=a \}$, show that $S$ is subring of $R$.

score 94 · Answer 11 · 2026-03-26 16:06:19

94

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Computing the Group Ring $k[\mathbb Z / n \mathbb Z]$ for a Field $k$ of Characteristic $0$

Published on 26 Mar 2026 - 16:06

score 45 · Answer 12 · 2020-08-16 22:02:20

45

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Question about Rings, Homomorphisms and Ideals.

Published on 16 Aug 2020 - 22:02

score 28 · Answer 13 · 2020-08-19 06:18:03

Identifying whether or not that the map from $\mathbb{Z}/8\mathbb{Z}$ to $\mathbb{Z}/4\mathbb{Z}$ is isomorphism.

score 25 · Answer 14 · 2020-08-22 13:21:35

25

Views

Show that $\{x \in R | f(x) = a'\} = a + Ker(f)$ as following.

Published on 22 Aug 2020 - 13:21

score 35 · Answer 15 · 2020-08-26 11:41:07

35

Views

Showing that any two ideals of a commutative ring are hold in ring homomorphism as follow

Published on 26 Aug 2020 - 11:41

List Question

Arrow symbol for homomorphism?

Counting homomorphisms between $\Bbb Z$ and $\Bbb Z_n$ and also between $\Bbb Z_n$ and $\Bbb Q$

For this ring homomorphism, show that $\ker f$ is a principal ideal and find an element that generates it

Ring Theory--Divisors and Roots of Polynomials

Find all field homomorphisms of $\mathbb{Q}(\sqrt[3]{2})$ and $\mathbb{Q}(\sqrt[3]{2}, \sqrt[3]{2} e^{\frac{2 \pi i}{3}})$

Question about inclusion map

Showing two ring homomorphisms that agree on the integers must agree on the rationals

Hom of the direct product of $\mathbb{Z}_{n}$ to the rationals is nonzero.

Let $R$ be the Ring of all functions in $\mathscr{C}^{0}[0, 1]$

Let $R$ be a commutative ring with unity and $f:R \to R$ be a ring homomorphism. If $S = \{a \in R | f(a)=a \}$, show that $S$ is subring of $R$.

Computing the Group Ring $k[\mathbb Z / n \mathbb Z]$ for a Field $k$ of Characteristic $0$

Question about Rings, Homomorphisms and Ideals.

Identifying whether or not that the map from $\mathbb{Z}/8\mathbb{Z}$ to $\mathbb{Z}/4\mathbb{Z}$ is isomorphism.

Show that $\{x \in R | f(x) = a'\} = a + Ker(f)$ as following.

Showing that any two ideals of a commutative ring are hold in ring homomorphism as follow

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