List questions from ring-theory

Published on 19 Feb 2018 - 17:15

370

Views

What is the set {$e\in(R/ I)\times(R/J): e$ is idempotent}

Published on 25 Mar 2026 - 23:38

261

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$\mathbb{F}_2[\alpha] \cong \mathbb{F}_2[x]/(x^2+1)$?

Published on 19 Feb 2018 - 20:58

325

Views

Structure theorem for modules implies Smith Normal Form

Published on 20 Mar 2026 - 8:04

332

Views

For which commutative rings $R$, the first Weyl algebra $A_1(R)$ is simple?

Published on 25 Mar 2026 - 7:48

62

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How big is the group ring $S$? (i.e how many elements does $S$ contain?)

Published on 20 Feb 2018 - 13:46

522

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Find a generators for the following ideal in R[X]

Published on 25 Mar 2026 - 13:33

24

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Minimal of Ring Theory for Field/Galois theory.

Published on 25 Mar 2026 - 9:50

882

Views

Let R be a PID, B a torsion R module and p a prime in R. Prove that if $pb=0$ for some non zero b in B, then $\text{Ann}(B)$ is a subset of (p)

Published on 20 Mar 2026 - 8:37

903

Views

Radical Ideal in the Coordinate Ring is Intersection of Maximal Ideals

Published on 25 Mar 2026 - 13:33

118

Views

How do we know that the canonical surjection $\mathbb{Z}[\sqrt{2}] \rightarrow \mathbb{Z}[\sqrt{2}]$ is injective?

Published on 21 Feb 2018 - 4:39

101

Views

Proof Verification/Help of Euler-Phi function Theorem

Published on 21 Feb 2018 - 10:29

43

Views

Centre of a factor ring

Published on 25 Mar 2026 - 1:15

347

Views

Group ring confusion

Published on 22 Mar 2026 - 10:21

153

Views

Why are local rings a coherent theory?

Published on 22 Mar 2026 - 20:46

List Question

Prove the $(\mathbb {N},\oplus,\otimes)$ is ring

What is the set {$e\in(R/ I)\times(R/J): e$ is idempotent}

$\mathbb{F}_2[\alpha] \cong \mathbb{F}_2[x]/(x^2+1)$?

Structure theorem for modules implies Smith Normal Form

For which commutative rings $R$, the first Weyl algebra $A_1(R)$ is simple?

How big is the group ring $S$? (i.e how many elements does $S$ contain?)

Find a generators for the following ideal in R[X]

Minimal of Ring Theory for Field/Galois theory.

Let R be a PID, B a torsion R module and p a prime in R. Prove that if $pb=0$ for some non zero b in B, then $\text{Ann}(B)$ is a subset of (p)

Radical Ideal in the Coordinate Ring is Intersection of Maximal Ideals

How do we know that the canonical surjection $\mathbb{Z}[\sqrt{2}] \rightarrow \mathbb{Z}[\sqrt{2}]$ is injective?

Proof Verification/Help of Euler-Phi function Theorem

Centre of a factor ring

Group ring confusion

Why are local rings a coherent theory?

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