Question

Integral closure exercise from Reid's Undergraduate Commutative Algebra

score 91 · Answer 1 · 2018-05-26 18:36:09

91

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Integral closure exercise from Reid's Undergraduate Commutative Algebra

Published on 26 May 2018 - 18:36

score 270 · Answer 2 · 2026-03-25 01:15:01

270

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Nonunit element in $\mathbb{Z}[i]$

Published on 25 Mar 2026 - 1:15

score 1.6k · Answer 3 · 2018-05-26 22:59:50

1.6k

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Proof that Artinian ring is Noetherian

Published on 26 May 2018 - 22:59

score 59 · Answer 4 · 2026-03-26 12:52:13

59

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If restricted module is projective, does left inverse exist?

Published on 26 Mar 2026 - 12:52

score 844 · Answer 5 · 2026-03-25 13:56:21

844

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Do both versions (invariant and primary) of the Fundamental Theorem for Finitely Generated Abelian Groups hold at the same time?

Published on 25 Mar 2026 - 13:56

score 122 · Answer 6 · 2018-05-27 13:05:55

122

Views

Degree of functions on a curve that are no zero divisors

Published on 27 May 2018 - 13:05

score 210 · Answer 7 · 2026-03-27 14:40:11

210

Views

Ring Homomorphisms and Noetherian...?

Published on 27 Mar 2026 - 14:40

score 105 · Answer 8 · 2026-03-25 15:41:23

105

Views

Invertible elements of $\Bbb{F}_p[x]/\langle x^{p+1}\rangle$?

Published on 25 Mar 2026 - 15:41

score 822 · Answer 9 · 2026-03-27 16:47:49

822

Views

Fiber product in the (sub)category of commutative rings

Published on 27 Mar 2026 - 16:47

score 932 · Answer 10 · 2018-05-28 16:53:53

932

Views

Showing that a number is prime if norm is prime

Published on 28 May 2018 - 16:53

score 24 · Answer 11 · 2018-05-28 23:52:22

Let $S$ a non-empty set, $(A,+,\cdot)$ a ring and $f:S\to A$ a bijection. Defined the operations $x*y$ and $x\,\Delta\,y$, is $(S,*,\Delta)$ a ring?

score 98 · Answer 12 · 2018-05-29 09:43:28

98

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IS $f(x)= x^4+3x^2+2$ is irreducible over $\mathbb{Q}[X]$

Published on 29 May 2018 - 9:43

score 261 · Answer 13 · 2026-03-28 15:26:53

261

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Question about equivalent definitions of Jacobson ring

Published on 28 Mar 2026 - 15:26

score 1.4k · Answer 14 · 2018-05-30 08:56:27

1.4k

Views

How does the ring $\mathbb R[x] / (x^2 - 1)$ work?

Published on 30 May 2018 - 8:56

score 30 · Answer 15 · 2018-05-30 10:20:24

30

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Show that a ring $R$ with $|R|>1$ is a division ring if it satisfies the following condition

Published on 30 May 2018 - 10:20

List Question

Integral closure exercise from Reid's Undergraduate Commutative Algebra

Nonunit element in $\mathbb{Z}[i]$

Proof that Artinian ring is Noetherian

If restricted module is projective, does left inverse exist?

Do both versions (invariant and primary) of the Fundamental Theorem for Finitely Generated Abelian Groups hold at the same time?

Degree of functions on a curve that are no zero divisors

Ring Homomorphisms and Noetherian...?

Invertible elements of $\Bbb{F}_p[x]/\langle x^{p+1}\rangle$?

Fiber product in the (sub)category of commutative rings

Showing that a number is prime if norm is prime

Let $S$ a non-empty set, $(A,+,\cdot)$ a ring and $f:S\to A$ a bijection. Defined the operations $xy$ and $x\,\Delta\,y$, is $(S,,\Delta)$ a ring?

IS $f(x)= x^4+3x^2+2$ is irreducible over $\mathbb{Q}[X]$

Question about equivalent definitions of Jacobson ring

How does the ring $\mathbb R[x] / (x^2 - 1)$ work?

Show that a ring $R$ with $|R|>1$ is a division ring if it satisfies the following condition

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