List questions from ring-theory

Published on 28 Mar 2026 - 16:14

107

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Show that $\mathbb{Z}_5[x]/(x^2+x+1)\cong\mathbb{Z}_5[x]/(x^2+x+2)$

Published on 25 Mar 2026 - 6:05

172

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How i can reduce this polynomial in $\mathbb{Z}_2 [x]$?

Published on 25 Mar 2026 - 20:35

140

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About the hypotheses for a ring to contain a maximal ideal

Published on 28 Mar 2026 - 8:31

66

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Prove that $ I + J = R \iff b + J $ is invertible in $ R / J$, where $ I = \langle b \rangle$

Published on 29 Mar 2026 - 10:15

166

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Is there a fixed-point theorem that can be applied to a ring endomorphism of $k[x,y]$?

Published on 25 Mar 2026 - 22:04

68

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What is $\mathbb{Z}_1^\times$?

Published on 27 Mar 2026 - 16:26

2k

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Let R be commutative ring with unity such that R[x] is a PID then R is a field.

Published on 20 Sep 2018 - 18:33

81

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Maximal ideals of $\Bbb Z/5\Bbb Z$, $\Bbb Z/10\Bbb Z$ and $\Bbb Z/4\Bbb Z\times\Bbb Z/6\Bbb Z$

Published on 28 Mar 2026 - 11:48

137

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Uniqueness of idempotent in Brauer's lemma

Published on 22 Sep 2018 - 14:12

52

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Help calculating ideal generated by the union of two ideals

Published on 29 Mar 2026 - 10:15

59

Views

why is ideal $I_1, I_2, \dots, I_n$ contained in $I_1, I_2, \dots, I_{n-1}$

Published on 22 Sep 2018 - 18:12

256

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Proving various radical ideal containents

Published on 29 Mar 2026 - 10:15

176

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Constructing a non-commutative ring with $5^9$ elements

Published on 29 Mar 2026 - 11:42

34

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When is $(r_1, ..., r_k) = r_1R + ... + r_kR$?

Published on 23 Sep 2018 - 7:00

List Question

Is there a name for this kind of „quotient module“?

Show that $\mathbb{Z}_5[x]/(x^2+x+1)\cong\mathbb{Z}_5[x]/(x^2+x+2)$

How i can reduce this polynomial in $\mathbb{Z}_2 [x]$?

About the hypotheses for a ring to contain a maximal ideal

Prove that $ I + J = R \iff b + J $ is invertible in $ R / J$, where $ I = \langle b \rangle$

Is there a fixed-point theorem that can be applied to a ring endomorphism of $k[x,y]$?

What is $\mathbb{Z}_1^\times$?

Let R be commutative ring with unity such that R[x] is a PID then R is a field.

Maximal ideals of $\Bbb Z/5\Bbb Z$, $\Bbb Z/10\Bbb Z$ and $\Bbb Z/4\Bbb Z\times\Bbb Z/6\Bbb Z$

Uniqueness of idempotent in Brauer's lemma

Help calculating ideal generated by the union of two ideals

why is ideal $I_1, I_2, \dots, I_n$ contained in $I_1, I_2, \dots, I_{n-1}$

Proving various radical ideal containents

Constructing a non-commutative ring with $5^9$ elements

When is $(r_1, ..., r_k) = r_1R + ... + r_kR$?

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