List questions from ring-theory

Published on 22 Mar 2026 - 8:27

124

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Any matrix ring $R_k$ is isomorphic to a subring of the ring $R_{2^k}$

Published on 25 Mar 2026 - 3:03

1.1k

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Infinite integral domain may not be a field

Published on 05 May 2018 - 10:27

102

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Investigating the structure of localisation when realised as a colimit

Published on 25 Mar 2026 - 1:36

56

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On the cardinality of some quotient rings

Published on 05 May 2018 - 14:46

160

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Galois group over extension field of quotient ring based on cyclotomic polynomial

Published on 25 Mar 2026 - 14:14

26

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Intersection of an ideal with a subset

Published on 28 Mar 2026 - 8:38

1.6k

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What are the binary operations of a ring?

Published on 27 Mar 2026 - 4:55

24

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On maximal ideals of $x\mathbb{Q}[[x]]$

Published on 28 Mar 2026 - 8:30

104

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Descending chain condition of maximal ideals for a domain

Published on 25 Mar 2026 - 1:27

33

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Bijection of $\theta:R \rightarrow \mathrm{Frac}(R)$

Published on 25 Mar 2026 - 1:17

2.7k

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prime ideal but not maximal ideal and maximal ideal but not prime ideal

Published on 28 Mar 2026 - 11:43

101

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Is this ring an integral domain? Prove or give a counterexample

Published on 25 Mar 2026 - 4:39

47

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Prove that if $x^2 +\bar ax +\bar 1$ has a double root, then $(\mathbb Z/5)[x]/I$ $\cong$ $(\mathbb Z/5)[x]/(x^2)$ where I = $x^2 +\bar ax +\bar 1$

Published on 25 Mar 2026 - 16:08

820

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Will $Z[X] / (x^2 +1)$ be a PID?

Published on 07 May 2018 - 12:30

List Question

Global dimension of $\prod k$

Any matrix ring $R_k$ is isomorphic to a subring of the ring $R_{2^k}$

Infinite integral domain may not be a field

Investigating the structure of localisation when realised as a colimit

On the cardinality of some quotient rings

Galois group over extension field of quotient ring based on cyclotomic polynomial

Intersection of an ideal with a subset

What are the binary operations of a ring?

On maximal ideals of $x\mathbb{Q}[[x]]$

Descending chain condition of maximal ideals for a domain

Bijection of $\theta:R \rightarrow \mathrm{Frac}(R)$

prime ideal but not maximal ideal and maximal ideal but not prime ideal

Is this ring an integral domain? Prove or give a counterexample

Prove that if $x^2 +\bar ax +\bar 1$ has a double root, then $(\mathbb Z/5)[x]/I$ $\cong$ $(\mathbb Z/5)[x]/(x^2)$ where I = $x^2 +\bar ax +\bar 1$

Will $Z[X] / (x^2 +1)$ be a PID?

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