List questions from maximal-and-prime-ideals

Published on 09 Mar 2020 - 5:41

47

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Quotient of Ring of Functions on a Field by a Maximal Ideal is Algebraically Closed Implies Field is Algebraically Closed

Published on 11 Mar 2020 - 0:56

153

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Zero Ideal is Indecomposable as a Finite Intersection of Primary Ideals on an Infinite Ring of Idempotents

Published on 25 Mar 2026 - 9:29

160

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If $R$ is a UFD, then every prime element of $R$ generates a prime ideal

Published on 25 Mar 2026 - 21:50

332

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Maximal non-unit ideal in a ring with or without identity

Published on 25 Mar 2026 - 6:00

184

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Minimal prime ideals

Published on 15 Mar 2020 - 7:12

71

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Ideal not contained in maximal ideal in Banach Algebra $C_0(\mathbb{R})$

Published on 25 Mar 2026 - 14:23

103

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Preimage of maximal ideal of the homomorphism $R[x_0, ..., x_n] \to (R/M)[x_0, ..., x_n]$

Published on 20 Mar 2020 - 9:17

40

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Prove that set of all non principal ideals of an integral domain has a maximal element

Published on 24 Mar 2020 - 11:43

79

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Proving $R[Y_1, \ldots, Y_r]_{P}$ is integrally closed (trying to prove $\mathbb{P}^r_R$ is normal)

Published on 24 Mar 2020 - 16:03

137

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Prime ideals in $R[x]$ that intersects $R$ trivially

Published on 25 Mar 2026 - 21:49

195

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Maximal Ideals of $F[x_{1} , \dots , x_{n}]$, $F$ not necessarily algebraically closed

Published on 27 Mar 2020 - 20:05

134

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Is the ideal $(2,X+1)\subset\Bbb{Z}[X]$ prime, maximal or neither?

Published on 30 Mar 2020 - 19:08

46

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Prime Ideals of $\mathbb{C}^{n}$

Published on 01 Apr 2020 - 18:39

238

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A corollary to Krull's Principal Ideal Theorem

Published on 25 Mar 2026 - 21:48

List Question

Prove that every prime ideal is a maximal ideal

Quotient of Ring of Functions on a Field by a Maximal Ideal is Algebraically Closed Implies Field is Algebraically Closed

Zero Ideal is Indecomposable as a Finite Intersection of Primary Ideals on an Infinite Ring of Idempotents

If $R$ is a UFD, then every prime element of $R$ generates a prime ideal

Maximal non-unit ideal in a ring with or without identity

Minimal prime ideals

Ideal not contained in maximal ideal in Banach Algebra $C_0(\mathbb{R})$

Preimage of maximal ideal of the homomorphism $R[x_0, ..., x_n] \to (R/M)[x_0, ..., x_n]$

Prove that set of all non principal ideals of an integral domain has a maximal element

Proving $R[Y_1, \ldots, Y_r]_{P}$ is integrally closed (trying to prove $\mathbb{P}^r_R$ is normal)

Prime ideals in $R[x]$ that intersects $R$ trivially

Maximal Ideals of $F[x_{1} , \dots , x_{n}]$, $F$ not necessarily algebraically closed

Is the ideal $(2,X+1)\subset\Bbb{Z}[X]$ prime, maximal or neither?

Prime Ideals of $\mathbb{C}^{n}$

A corollary to Krull's Principal Ideal Theorem

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