Question

Is a ring homomorphism a homomorphism of multiplicative groups?

score 61 · Answer 1 · 2019-11-14 04:20:02

61

Views

Is a ring homomorphism a homomorphism of multiplicative groups?

Published on 14 Nov 2019 - 4:20

score 499 · Answer 2 · 2019-11-14 05:07:34

499

Views

Ker($\phi$) of a ring homomorphism

Published on 14 Nov 2019 - 5:07

score 274 · Answer 3 · 2019-11-14 06:05:43

274

Views

Subrings of ring homomorphisms

Published on 14 Nov 2019 - 6:05

score 48 · Answer 4 · 2019-11-14 07:13:13

48

Views

Is ($x^2$ - 1) contained in ker($\phi$)?

Published on 14 Nov 2019 - 7:13

score 82 · Answer 5 · 2019-11-17 03:43:31

82

Views

What does the kernel of a semiring homomorphism being a null set signify?

Published on 17 Nov 2019 - 3:43

score 87 · Answer 6 · 2019-11-19 01:42:10

87

Views

Use of canonical homomorphism in 1st Ring Isomorphism Theorem

Published on 19 Nov 2019 - 1:42

score 2k · Answer 7 · 2019-11-22 05:53:24

2k

Views

Let $\phi: R \to S$ be a homomorphism of rings, $I$ an ideal of $R$, $J$ an ideal of $S$.

Published on 22 Nov 2019 - 5:53

score 198 · Answer 8 · 2019-11-27 10:33:32

198

Views

Given $t_{0}\in[0,1]$, what is the radical of Banach algebra $C^{1}[0,1]/\{f:f(t_{0})=f'(t_{0})=0\}$?

Published on 27 Nov 2019 - 10:33

score 231 · Answer 9 · 2019-11-27 15:07:54

231

Views

The existence of an algebra homomorphism between $\mathcal{M}_n({\mathbb{K}})$ and $\mathcal{M}_s(\mathbb{K})$ implies $n | s$

Published on 27 Nov 2019 - 15:07

score 67 · Answer 10 · 2019-12-02 13:32:14

67

Views

If $z\in\mathbb{Z}$, $|z|=1$. How do I show that $h(a):=\sum_{k\in\mathbb{Z}}a_{k}z^{k}$ is algebra homomorphism $\ell^{1}(\mathbb{Z})\to\mathbb{C}$?

Published on 02 Dec 2019 - 13:32

score 1.5k · Answer 11 · 2019-12-03 21:42:34

1.5k

Views

Proving a ring isomorphism

Published on 03 Dec 2019 - 21:42

score 60 · Answer 12 · 2019-12-11 19:53:29

60

Views

How many ring homomorphisms they are:$\mathbb Z[x,\frac1x\ ] \to \mathbb Z_4,\mathbb Z[x]/(x^2) \to \mathbb Z_{24},\mathbb Z[x]/(x^3-1) \to \mathbb C$

Published on 11 Dec 2019 - 19:53

score 76 · Answer 13 · 2019-12-17 13:03:13

76

Views

Exercise 0.4 in Miles Reid's Commutative Algebra

Published on 17 Dec 2019 - 13:03

score 87 · Answer 14 · 2026-03-25 06:58:56

87

Views

Show that if $f \sim^{\mathcal{R}} g$, then $\text{ord } (f) = \text{ord } (g)$.

Published on 25 Mar 2026 - 6:58

score 69 · Answer 15 · 2020-01-08 00:13:14

69

Views

Nontrivial homomorphism between $\mathbb{Q}[x]/(x^3-1)$ and $\mathbb{Q}[x]/(x^2+x+1)$

Published on 08 Jan 2020 - 0:13

List Question

Is a ring homomorphism a homomorphism of multiplicative groups?

Ker($\phi$) of a ring homomorphism

Subrings of ring homomorphisms

Is ($x^2$ - 1) contained in ker($\phi$)?

What does the kernel of a semiring homomorphism being a null set signify?

Use of canonical homomorphism in 1st Ring Isomorphism Theorem

Let $\phi: R \to S$ be a homomorphism of rings, $I$ an ideal of $R$, $J$ an ideal of $S$.

Given $t_{0}\in[0,1]$, what is the radical of Banach algebra $C^{1}[0,1]/\{f:f(t_{0})=f'(t_{0})=0\}$?

The existence of an algebra homomorphism between $\mathcal{M}_n({\mathbb{K}})$ and $\mathcal{M}_s(\mathbb{K})$ implies $n | s$

If $z\in\mathbb{Z}$, $|z|=1$. How do I show that $h(a):=\sum_{k\in\mathbb{Z}}a_{k}z^{k}$ is algebra homomorphism $\ell^{1}(\mathbb{Z})\to\mathbb{C}$?

Proving a ring isomorphism

How many ring homomorphisms they are:$\mathbb Z[x,\frac1x\ ] \to \mathbb Z_4,\mathbb Z[x]/(x^2) \to \mathbb Z_{24},\mathbb Z[x]/(x^3-1) \to \mathbb C$

Exercise 0.4 in Miles Reid's Commutative Algebra

Show that if $f \sim^{\mathcal{R}} g$, then $\text{ord } (f) = \text{ord } (g)$.

Nontrivial homomorphism between $\mathbb{Q}[x]/(x^3-1)$ and $\mathbb{Q}[x]/(x^2+x+1)$

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