List questions from ring-theory

Published on 10 Apr 2026 - 11:03

239

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Definition of a Euclidean Domain: how to show that the condition $f(ab)\ge f(a)$ is actually not necessary?

Published on 10 May 2026 - 16:13

263

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Prime element in $\mathbb{Z}[\sqrt{p}]$

Published on 13 Apr 2026 - 17:08

148

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Basic module on a ring properties proof

Published on 16 Apr 2026 - 7:33

892

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Find the kernel of a homomorphism between polynomial rings

Published on 26 Mar 2026 - 2:55

385

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Discriminant of ideal equals its norm squared times the discriminant of the ring

Published on 13 Apr 2026 - 1:49

67

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Example of a (non-simple) right $R$-module that is not annihilated by the Jacobson radical $J(R)$.

Published on 14 Apr 2026 - 6:24

50

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$\#ℤ[i]/\alpha\betaℤ[i] = \#ℤ[i]/\alphaℤ[i] · \#ℤ[i]/ \beta ℤ[i]$

Published on 10 May 2026 - 15:02

308

Views

Elements of $\mathbb{R}[x]/f$ for polynomial $f$ of degree $n$

Published on 14 Apr 2026 - 15:07

118

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Homomorphism $R$-linear between $\Bbb {Z}$ and $\Bbb{Z_n}$

Published on 12 Apr 2026 - 23:05

121

Views

What does the notation $\mathbb{Z}_{(2)}$ mean?

Published on 27 Mar 2026 - 17:05

95

Views

In a ring where $(a-b)^2 = a - b$ for fixed $a,b$, then $(a-b)(a+b) = 1 \iff a^2 - b^2 = 1$.

Published on 16 Apr 2026 - 4:34

93

Views

$1-\phi$ is surjective for a $\phi$-module?

Published on 10 May 2026 - 17:08

300

Views

Question about a not semisimple group algebra

Published on 12 Apr 2026 - 14:23

30

Views

Quotient of Gaussian Ring

Published on 12 Apr 2026 - 16:07

List Question

How do I prove Rudin's condition for density is dense by definition?

Definition of a Euclidean Domain: how to show that the condition $f(ab)\ge f(a)$ is actually not necessary?

Prime element in $\mathbb{Z}[\sqrt{p}]$

Basic module on a ring properties proof

Find the kernel of a homomorphism between polynomial rings

Discriminant of ideal equals its norm squared times the discriminant of the ring

Example of a (non-simple) right $R$-module that is not annihilated by the Jacobson radical $J(R)$.

$\#ℤ[i]/\alpha\betaℤ[i] = \#ℤ[i]/\alphaℤ[i] · \#ℤ[i]/ \beta ℤ[i]$

Elements of $\mathbb{R}[x]/f$ for polynomial $f$ of degree $n$

Homomorphism $R$-linear between $\Bbb {Z}$ and $\Bbb{Z_n}$

What does the notation $\mathbb{Z}_{(2)}$ mean?

In a ring where $(a-b)^2 = a - b$ for fixed $a,b$, then $(a-b)(a+b) = 1 \iff a^2 - b^2 = 1$.

$1-\phi$ is surjective for a $\phi$-module?

Question about a not semisimple group algebra

Quotient of Gaussian Ring

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