List questions from ring-theory

Published on 08 Mar 2018 - 18:31

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Counting irreducible polynomials over finite fields

Published on 23 Mar 2026 - 4:17

146

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Expressing Laurent polynomials using generators and relations

Published on 24 Mar 2026 - 23:52

112

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Cardinality of units in a commutative ring with unity

Published on 09 Mar 2018 - 5:27

102

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Is my interpretation of the 'polynomial quotient ring' $\mathbb{Z}_p [x] / f(x)$ correct?

Published on 25 Mar 2026 - 16:40

618

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Is this a mistake in Dummit & Foote?

Published on 09 Mar 2018 - 16:34

94

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Find $[\mathbb{Q}({5}^{1/4}):\mathbb{Q}]$ and the minimal polynomial of a over Q.

Published on 09 Mar 2018 - 19:37

466

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Finiteness of prime ideals in Dedekind domains

Published on 25 Mar 2026 - 7:09

1k

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derivation in ring

Published on 10 Mar 2018 - 14:12

65

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We have $f(x) \in R[x]$ and say that $(a+bi)$ is a zero. show that $(a-bi)$ is a zero.

Published on 10 Mar 2018 - 23:49

766

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What are the prime and maximal ideals of the power set of $\Bbb N$, i.e. $\mathcal P(\Bbb N)$

Published on 25 Mar 2026 - 16:40

36

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Comparing Two Rings $k[T]/(T^n)$ and $\mathbb{Z}/(p^n)$.

Published on 25 Mar 2026 - 16:44

1.6k

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Determine whether a polynomial is reducible over a finite field

Published on 25 Mar 2026 - 1:41

643

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Non-unital ring $(2\mathbb{Z})[X]$ is not Noetherian

Published on 22 Mar 2026 - 21:58

36

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Describe primary radicals of $R[x]$

Published on 25 Mar 2026 - 10:57

List Question

Find all the subrings of $Z_{12}$ and if they have a multiplicative identity

Counting irreducible polynomials over finite fields

Expressing Laurent polynomials using generators and relations

Cardinality of units in a commutative ring with unity

Is my interpretation of the 'polynomial quotient ring' $\mathbb{Z}_p [x] / f(x)$ correct?

Is this a mistake in Dummit & Foote?

Find $[\mathbb{Q}({5}^{1/4}):\mathbb{Q}]$ and the minimal polynomial of a over Q.

Finiteness of prime ideals in Dedekind domains

derivation in ring

We have $f(x) \in R[x]$ and say that $(a+bi)$ is a zero. show that $(a-bi)$ is a zero.

What are the prime and maximal ideals of the power set of $\Bbb N$, i.e. $\mathcal P(\Bbb N)$

Comparing Two Rings $k[T]/(T^n)$ and $\mathbb{Z}/(p^n)$.

Determine whether a polynomial is reducible over a finite field

Non-unital ring $(2\mathbb{Z})[X]$ is not Noetherian

Describe primary radicals of $R[x]$

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