List questions from ideals

Published on 25 Mar 2026 - 9:22

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Let $R$ be a ring and $X$ a non-empty set. Considering $A=R^X$, describe the ring $(A,+,\cdot)$

Published on 02 Jan 2019 - 9:04

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Proving that the radical of an ideal is an ideal

Published on 27 Mar 2026 - 4:17

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Principal (and not principal) ideals of the ring $\mathbb{R}^{\mathbb{R}}$

Published on 03 Jan 2019 - 10:41

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How to prove $\Bbb Z[i]/(1+2i)\cong \Bbb Z_5$?

Published on 22 Mar 2026 - 22:00

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Fundamental Theorem on Homomorphisms - Application

Published on 03 Jan 2019 - 15:25

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How to prove a polynomial in $\mathbb{Z}[x,y]$ is irreducible

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Ideal of matrix ring

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Gaussian Integers form an Euclidean Ring

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If $I$ is a maximal ideal and $a\in R -I$, then the assumption that $I + (a) = R$ gives a contradiction

Published on 28 Mar 2026 - 22:29

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Showing that an ideal is not principal in $\mathbb{Z}[\sqrt{-21}]$

Published on 27 Mar 2026 - 15:15

147

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Showing that an ideal in $\mathbb{Z}[\sqrt{-21}]$ is principal

Published on 27 Mar 2026 - 15:13

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Relation between $k[a,b]$ and $k[c,d]$, given that $(a,b)=(c,d)$.

Published on 09 Jan 2019 - 17:24

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Prove $R_{\mathfrak p}$ has only one maximal ideal $\mathfrak pR_{\mathfrak p}$

Published on 26 Mar 2026 - 1:06

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Class Number Calculation of a Real Quadratic Number Field

Published on 28 Mar 2026 - 22:26

List Question

a.c.c. and d.c.c. on radical ideals in commutative ring of dimension zero

Let $R$ be a ring and $X$ a non-empty set. Considering $A=R^X$, describe the ring $(A,+,\cdot)$

Proving that the radical of an ideal is an ideal

Principal (and not principal) ideals of the ring $\mathbb{R}^{\mathbb{R}}$

How to prove $\Bbb Z[i]/(1+2i)\cong \Bbb Z_5$?

Fundamental Theorem on Homomorphisms - Application

How to prove a polynomial in $\mathbb{Z}[x,y]$ is irreducible

Ideal of matrix ring

Gaussian Integers form an Euclidean Ring

If $I$ is a maximal ideal and $a\in R -I$, then the assumption that $I + (a) = R$ gives a contradiction

Showing that an ideal is not principal in $\mathbb{Z}[\sqrt{-21}]$

Showing that an ideal in $\mathbb{Z}[\sqrt{-21}]$ is principal

Relation between $k[a,b]$ and $k[c,d]$, given that $(a,b)=(c,d)$.

Prove $R_{\mathfrak p}$ has only one maximal ideal $\mathfrak pR_{\mathfrak p}$

Class Number Calculation of a Real Quadratic Number Field

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