List questions from ring-theory

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Counterexamples between Rings and their polynomial Rings

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Proof verification: irreducible elements and associates in an integral domain

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Maximal ideals of ring of continuous functions

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Inverses in the quotient ring $\mathbb{C}[x_1,\dots, x_n]/(x_1^2,\dots, x_n^2)$

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Some details about $\boldsymbol{R_P}$ has a unique maximal ideal prove

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Problems on determining the Primes in $\mathbb{Z}[i]$

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Show that $x^3-a$ is irreducible in $\mathbb{Z}_7$ unless $a=0$ or $\pm1$

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When does a $n \in \mathbb{Z}$ can be written as $n=A^2+B^2$?

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Finding generator for Ideal generated by two elements in a PID

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Holder length of finite generated artinian module

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Find an infinity ring with a finite characteristic p

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$G$ is finite group, prove that $\frac{1}{|G|}\sum_{g\in G} U_g$ is idempotent in the group-ring $R[G]$

Published on 25 Apr 2018 - 13:34

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Setting Ideal to Zero

Published on 25 Mar 2026 - 12:13

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Field extension roots of unity

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List Question

Endomorphism rings of commutative algebraic groups are Noetherian?

Counterexamples between Rings and their polynomial Rings

Proof verification: irreducible elements and associates in an integral domain

Maximal ideals of ring of continuous functions

Inverses in the quotient ring $\mathbb{C}[x_1,\dots, x_n]/(x_1^2,\dots, x_n^2)$

Some details about $\boldsymbol{R_P}$ has a unique maximal ideal prove

Problems on determining the Primes in $\mathbb{Z}[i]$

Show that $x^3-a$ is irreducible in $\mathbb{Z}_7$ unless $a=0$ or $\pm1$

When does a $n \in \mathbb{Z}$ can be written as $n=A^2+B^2$?

Finding generator for Ideal generated by two elements in a PID

Holder length of finite generated artinian module

Find an infinity ring with a finite characteristic p

$G$ is finite group, prove that $\frac{1}{|G|}\sum_{g\in G} U_g$ is idempotent in the group-ring $R[G]$

Setting Ideal to Zero

Field extension roots of unity

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