Question

Module Structure Induced by Quotient Ring

score 851 · Answer 1 · 2026-03-25 20:07:33

851

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Module Structure Induced by Quotient Ring

Published on 25 Mar 2026 - 20:07

score 119 · Answer 2 · 2026-03-25 11:25:35

119

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$\mathbb Z_n$ as a semisimple $\mathbb Z_m$-module

Published on 25 Mar 2026 - 11:25

score 42 · Answer 3 · 2026-03-25 20:08:31

42

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$M$ Admitting A $\Bbb{Z}_n$-module structure and $Exp(M)$

Published on 25 Mar 2026 - 20:08

score 87 · Answer 4 · 2026-03-25 01:27:56

87

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Irreducible element in k[x,y] remains irreducible in k(y)[x]

Published on 25 Mar 2026 - 1:27

score 120 · Answer 5 · 2026-03-25 20:08:11

120

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What is $\text{End}_\mathbb{Z}(\mathbb{R})$?

Published on 25 Mar 2026 - 20:08

score 156 · Answer 6 · 2018-03-05 23:04:49

156

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Which of the following statements are valid for any ring $R$? a) For any $a, b, c, d \in R$, $(a + b)(c + d) = ac + ad + bc + bd$.

Published on 05 Mar 2018 - 23:04

score 74 · Answer 7 · 2018-03-05 23:45:38

74

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Let $R$ a ring. If $(a \in R \land a^2=0 \implies a=0)$ then $R$ don't have nilpotent elements (not null).

Published on 05 Mar 2018 - 23:45

score 1.9k · Answer 8 · 2018-03-06 05:14:08

1.9k

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Ideals in $M_{2}(\mathbb{Z})$

Published on 06 Mar 2018 - 5:14

score 54 · Answer 9 · 2018-03-06 14:33:24

54

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Show that $1+a^2b$ is invertible in the ring A

Published on 06 Mar 2018 - 14:33

score 84 · Answer 10 · 2026-03-25 15:17:51

84

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Proving maximal ideals of $\mathbb{Z}[x]$ contain a prime

Published on 25 Mar 2026 - 15:17

score 1.9k · Answer 11 · 2018-03-06 15:17:56

1.9k

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Question about proof that $(a + b)^p = a^p+b^p$ in a field of characteristic $p$.

Published on 06 Mar 2018 - 15:17

score 222 · Answer 12 · 2018-03-06 18:37:44

222

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Question on definition of finitely generated $K$-algebra

Published on 06 Mar 2018 - 18:37

score 43 · Answer 13 · 2026-03-25 04:43:00

43

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Why is it that $\exists f_1,f_2\in M[f_1, f_2$ have no common factor]?

Published on 25 Mar 2026 - 4:43

score 80 · Answer 14 · 2018-03-06 19:51:45

80

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$ya^n - by = 1$ has one solution, then $xa-bx = 1$ also has one solution

Published on 06 Mar 2018 - 19:51

score 47 · Answer 15 · 2018-03-06 21:04:04

47

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Tensor product of multiplications

Published on 06 Mar 2018 - 21:04

List Question

Module Structure Induced by Quotient Ring

$\mathbb Z_n$ as a semisimple $\mathbb Z_m$-module

$M$ Admitting A $\Bbb{Z}_n$-module structure and $Exp(M)$

Irreducible element in k[x,y] remains irreducible in k(y)[x]

What is $\text{End}_\mathbb{Z}(\mathbb{R})$?

Which of the following statements are valid for any ring $R$? a) For any $a, b, c, d \in R$, $(a + b)(c + d) = ac + ad + bc + bd$.

Let $R$ a ring. If $(a \in R \land a^2=0 \implies a=0)$ then $R$ don't have nilpotent elements (not null).

Ideals in $M_{2}(\mathbb{Z})$

Show that $1+a^2b$ is invertible in the ring A

Proving maximal ideals of $\mathbb{Z}[x]$ contain a prime

Question about proof that $(a + b)^p = a^p+b^p$ in a field of characteristic $p$.

Question on definition of finitely generated $K$-algebra

Why is it that $\exists f_1,f_2\in M[f_1, f_2$ have no common factor]?

$ya^n - by = 1$ has one solution, then $xa-bx = 1$ also has one solution

Tensor product of multiplications

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