List questions from maximal-and-prime-ideals

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Commutative ring and factor by prime ideals

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Counterexample to noncommutative prime avoidance theorem

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Intuition on Krull Principal Ideal Theorem Proof's Major Ingredients

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the intersection of maximal ideal

Published on 01 Sep 2017 - 4:34

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Statements about $\mathbb{Z}[i]$, the ring of Gaussian integers

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Sum of two maximal ideal is necesarily maximal ideal?

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Necessary and sufficient conditions for Noetherian integral domain to be integrally closed

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$\mathfrak p$ be a prime ideal of a commutative ring $R$ , then $R_\mathfrak p/\mathfrak pR_\mathfrak p$ is the field of fractions of $R/\mathfrak p$?

Published on 30 Mar 2026 - 17:38

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Problem related to the polynomial ring of several variables.

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about the dimension of module over some module

Published on 16 Sep 2017 - 10:07

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Question on maximal spectrum of the polynomial ring

Published on 17 Sep 2017 - 0:03

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A question about the spectrum of a polynomial ring

Published on 17 Sep 2017 - 1:17

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Prove that for every $a\in A$ $\exists$ $q\in M,s\in A$ s.t. $a=sba+qa$ where $M$ is maximal ideal in $A$.

Published on 17 Sep 2017 - 10:44

285

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Chain conditions on prime ideals of commutative rings which holds in the polynomial ring also

Published on 20 Sep 2017 - 15:29

List Question

The conditions for planerity of comaximal ideal graph with 4 maximal ideals never hold

Commutative ring and factor by prime ideals

Counterexample to noncommutative prime avoidance theorem

Intuition on Krull Principal Ideal Theorem Proof's Major Ingredients

the intersection of maximal ideal

Statements about $\mathbb{Z}[i]$, the ring of Gaussian integers

Sum of two maximal ideal is necesarily maximal ideal?

Necessary and sufficient conditions for Noetherian integral domain to be integrally closed

$\mathfrak p$ be a prime ideal of a commutative ring $R$ , then $R_\mathfrak p/\mathfrak pR_\mathfrak p$ is the field of fractions of $R/\mathfrak p$?

Problem related to the polynomial ring of several variables.

about the dimension of module over some module

Question on maximal spectrum of the polynomial ring

A question about the spectrum of a polynomial ring

Prove that for every $a\in A$ $\exists$ $q\in M,s\in A$ s.t. $a=sba+qa$ where $M$ is maximal ideal in $A$.

Chain conditions on prime ideals of commutative rings which holds in the polynomial ring also

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