List questions from ideals

Published on 14 Apr 2019 - 4:22

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determine the cardinality and all inverrtible elements of $\mathbb{Z}[x]/(4,x^2)$.

Published on 14 Apr 2019 - 20:44

97

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Proving that a prime ideal is principal

Published on 15 Apr 2019 - 18:12

69

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When a two-generated ideal in $\mathbb{Z}[\sqrt{-3}]$ is the unit ideal or principal?

Published on 16 Apr 2019 - 16:32

307

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Find irreducible and connected components of $\operatorname{Spec}(\mathbb{C}[x] \times \mathbb{C}[y])$

Published on 17 Apr 2019 - 9:11

1k

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An ascending chain of prime ideals.

Published on 17 Apr 2019 - 10:14

360

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Prime ideals of $R[x]$ that intersect $R$ in $P$

Published on 29 Mar 2026 - 12:11

34

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Descending chain of reductions of an ideal

Published on 18 Apr 2019 - 19:51

73

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Radicals and Generalized Eigenspaces

Published on 19 Apr 2019 - 0:12

140

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Prove that $Z_{14}/(7)$ ≅ $Z_7$

Published on 19 Apr 2019 - 21:52

57

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Proof of principle ideal

Published on 19 Apr 2019 - 23:13

64

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In a Euclidean ring $R$, prove $(a) ⊆ (b) \iff b|a$

Published on 20 Apr 2019 - 0:51

116

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About comment by Jacobson on proving that a morphism in $\mathbf{Ring}$ is monic iff it is injective

Published on 21 Apr 2019 - 2:08

76

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Smallest Ideal in $M_2(Z)$

Published on 21 Apr 2019 - 22:07

189

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Isomorphism between quotient rings and modules

Published on 23 Apr 2019 - 15:10

List Question

Largest ideal inside an ideal of a ring.

determine the cardinality and all inverrtible elements of $\mathbb{Z}[x]/(4,x^2)$.

Proving that a prime ideal is principal

When a two-generated ideal in $\mathbb{Z}[\sqrt{-3}]$ is the unit ideal or principal?

Find irreducible and connected components of $\operatorname{Spec}(\mathbb{C}[x] \times \mathbb{C}[y])$

An ascending chain of prime ideals.

Prime ideals of $R[x]$ that intersect $R$ in $P$

Descending chain of reductions of an ideal

Radicals and Generalized Eigenspaces

Prove that $Z_{14}/(7)$ ≅ $Z_7$

Proof of principle ideal

In a Euclidean ring $R$, prove $(a) ⊆ (b) \iff b|a$

About comment by Jacobson on proving that a morphism in $\mathbf{Ring}$ is monic iff it is injective

Smallest Ideal in $M_2(Z)$

Isomorphism between quotient rings and modules

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