List questions from ring-isomorphism

Published on 03 Dec 2018 - 4:54

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What does $φ(a) = a$ mean in this statement?

Published on 09 Dec 2018 - 7:51

57

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Showing that $(I+J)/(I\cap J)\cong (I+J)/I\times (I+J)/J$.

Published on 10 Dec 2018 - 3:12

321

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Isomorphisms for rings modulo ideals

Published on 14 Dec 2018 - 15:25

91

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What's the point of studying isomorphisms?

Published on 29 Dec 2018 - 5:42

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Proving 2 quotient rings are isomorphic

Published on 25 Mar 2026 - 14:29

109

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Need help to construct a ring isomorphism from $\mathbb{Z}_3[\sqrt2]$ $\rightarrow $ $\mathbb{Z}_3[i]$

Published on 21 Jan 2019 - 20:10

149

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Algebraic structure, division ring

Published on 22 Mar 2026 - 19:16

826

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Isomorphisms of $\mathbb{R}[A]$ where $A$ is a $2\times2$ real matrix.

Published on 26 Jan 2019 - 23:39

137

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Prove or disprove ring $\mathbb{C}\times \mathbb{C}$ and ring Quaternion $H$ are isomorphic

Published on 25 Mar 2026 - 13:55

111

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Product ring isomorphism from example 11.6.3 in Artin's Algebra

Published on 18 Feb 2019 - 23:27

266

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Showing that $\frac{\mathbb{R}[x]}{\langle x \rangle}$ and $\frac{\mathbb{R}[x]}{\langle x-1 \rangle}$ are not isomorphic as $\mathbb{R}[x]$ modules.

Published on 19 Mar 2026 - 19:34

263

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Finding an isomorphic subring of matrices

Published on 25 Mar 2026 - 7:42

111

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Abstract Algebra: Quotient ring, ideal, and isomorphism

Published on 05 Mar 2019 - 9:41

108

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Is the following ring isomorphism true?

Published on 10 Mar 2019 - 3:43

List Question

Are the rings $\mathbb{R}^2$ and $\mathbb{R}^3$ isomorphic?

What does $φ(a) = a$ mean in this statement?

Showing that $(I+J)/(I\cap J)\cong (I+J)/I\times (I+J)/J$.

Isomorphisms for rings modulo ideals

What's the point of studying isomorphisms?

Proving 2 quotient rings are isomorphic

Need help to construct a ring isomorphism from $\mathbb{Z}_3[\sqrt2]$ $\rightarrow $ $\mathbb{Z}_3[i]$

Algebraic structure, division ring

Isomorphisms of $\mathbb{R}[A]$ where $A$ is a $2\times2$ real matrix.

Prove or disprove ring $\mathbb{C}\times \mathbb{C}$ and ring Quaternion $H$ are isomorphic

Product ring isomorphism from example 11.6.3 in Artin's Algebra

Showing that $\frac{\mathbb{R}[x]}{\langle x \rangle}$ and $\frac{\mathbb{R}[x]}{\langle x-1 \rangle}$ are not isomorphic as $\mathbb{R}[x]$ modules.

Finding an isomorphic subring of matrices

Abstract Algebra: Quotient ring, ideal, and isomorphism

Is the following ring isomorphism true?

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