List questions from maximal-and-prime-ideals

Published on 28 Mar 2026 - 22:37

88

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Is a factor $I/P$ of an invertible ideal $I$ with a prime ideal $P$ is invertible?

Published on 12 Sep 2020 - 10:34

38

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Given an homomorphism of commutative rings $A$ and $B$, show that an ideal $U$ in $A$ is prime/maximal in $A$ if an ideal $J$ in $B$ is.

Published on 13 Sep 2020 - 20:16

207

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Semiprime ideal of non-Noetherian Lie algebra

Published on 29 Mar 2026 - 6:07

80

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Characterisation of the graded prime ideals of the quotient $\mathbb{C}[X, Y, Z]/(X^2+Y^2+Z^2)$

Published on 17 Sep 2020 - 14:36

246

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The rings $ F[x,y]/ (y^{2} - x) $ and $F[x,y]/( y^{2} - x^{2}) $ for any field F

Published on 19 Sep 2020 - 8:13

132

Views

All Elements are Units or Nilpotent in a Ring with a Unique Prime Ideal

Published on 28 Mar 2026 - 15:26

192

Views

Ideals of $k[y,y^{-1}]$ and of $k[x,y,y^{-1}]$

Published on 21 Sep 2020 - 15:07

88

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Elements of a Module Whose Annihilator is a Given Associated Prime

Published on 25 Mar 2026 - 17:36

65

Views

Is ($(x-1)(x-2)$) a maximal ideal in $\mathbb{R}[x]$?

Published on 24 Sep 2020 - 12:25

35

Views

Properties preserved in addition of ideals

Published on 27 Sep 2020 - 7:05

79

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Is this Lie algebra Noetherian (satisfy the maximal condition for ideals)?

Published on 29 Mar 2026 - 6:02

33

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Ideals of non-Noetherian Lie algebra

Published on 29 Mar 2026 - 6:08

209

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Proof verification: prime ideals in Boolean rings

Published on 23 Feb 2026 - 3:01

507

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Are quotients of a PID by non-prime ideals ever a PID?

Published on 01 Apr 2026 - 10:07

List Question

Prove that $P[x] + \langle x \rangle$ is a prime ideal of $R[x].$

Is a factor $I/P$ of an invertible ideal $I$ with a prime ideal $P$ is invertible?

Given an homomorphism of commutative rings $A$ and $B$, show that an ideal $U$ in $A$ is prime/maximal in $A$ if an ideal $J$ in $B$ is.

Semiprime ideal of non-Noetherian Lie algebra

Characterisation of the graded prime ideals of the quotient $\mathbb{C}[X, Y, Z]/(X^2+Y^2+Z^2)$

The rings $ F[x,y]/ (y^{2} - x) $ and $F[x,y]/( y^{2} - x^{2}) $ for any field F

All Elements are Units or Nilpotent in a Ring with a Unique Prime Ideal

Ideals of $k[y,y^{-1}]$ and of $k[x,y,y^{-1}]$

Elements of a Module Whose Annihilator is a Given Associated Prime

Is ($(x-1)(x-2)$) a maximal ideal in $\mathbb{R}[x]$?

Properties preserved in addition of ideals

Is this Lie algebra Noetherian (satisfy the maximal condition for ideals)?

Ideals of non-Noetherian Lie algebra

Proof verification: prime ideals in Boolean rings

Are quotients of a PID by non-prime ideals ever a PID?

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