List questions from maximal-and-prime-ideals

Published on 17 Mar 2026 - 17:52

150

Views

If $P$ is a prime ideal of $R[x;\delta]$ such as $P\cap R=\{0\}$, is $P(Q[x;\delta])$ also prime?

Published on 17 Mar 2026 - 14:06

330

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Prime ideals of $\Bbb C[X, Y]$.

Published on 19 Mar 2026 - 19:40

367

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The radical of the algebra $ A = T_n(F)$ is $N$, the set of all strictly upper triangular matrices.

Published on 17 Mar 2026 - 12:12

48

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Primary decomposition in a finite algebra

Published on 20 Mar 2026 - 3:55

100

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Spectrum of $\mathbb{Z}[\frac{1}{6}]$

Published on 20 Mar 2026 - 0:31

197

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Does $\mathbb Z/{2}\times\mathbb Z/{2}$ have no maximal and prime ideal?

Published on 20 Mar 2026 - 2:38

630

Views

characterizing commutative rings, with nilpotent nilradical , satisfying a.c.c. on radical ideals

Published on 20 Mar 2026 - 19:42

544

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Maximal and prime ideal in an artinian ring

Published on 22 Mar 2026 - 7:35

286

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ring satisfying a.c.c. on radical ideals, with nilpotent nilradical and every prime ideal maximal

Published on 20 Mar 2026 - 3:53

362

Views

Is this true? An element which is not contained in a maximal ideal.

Published on 20 Mar 2026 - 3:13

514

Views

Localization in integral domains

Published on 22 Mar 2026 - 8:37

506

Views

On the radical of an ideal in the polynomial ring in 4 variables over complex field

Published on 20 Mar 2026 - 8:58

30

Views

If $P$ is a maximal ideal, then $A=PP^{-1} = (1)$: Showing that $A$ is an ideal.

Published on 25 Mar 2026 - 13:57

88

Views

Prove $\langle x \rangle + \cap P_i = \cap (\langle x \rangle + P_i)$ for monomials ideals.

Published on 20 Mar 2026 - 1:58

List Question

Prime Ideals in Subrings

If $P$ is a prime ideal of $R[x;\delta]$ such as $P\cap R=\{0\}$, is $P(Q[x;\delta])$ also prime?

Prime ideals of $\Bbb C[X, Y]$.

The radical of the algebra $ A = T_n(F)$ is $N$, the set of all strictly upper triangular matrices.

Primary decomposition in a finite algebra

Spectrum of $\mathbb{Z}[\frac{1}{6}]$

Does $\mathbb Z/{2}\times\mathbb Z/{2}$ have no maximal and prime ideal?

characterizing commutative rings, with nilpotent nilradical , satisfying a.c.c. on radical ideals

Maximal and prime ideal in an artinian ring

ring satisfying a.c.c. on radical ideals, with nilpotent nilradical and every prime ideal maximal

Is this true? An element which is not contained in a maximal ideal.

Localization in integral domains

On the radical of an ideal in the polynomial ring in 4 variables over complex field

If $P$ is a maximal ideal, then $A=PP^{-1} = (1)$: Showing that $A$ is an ideal.

Prove $\langle x \rangle + \cap P_i = \cap (\langle x \rangle + P_i)$ for monomials ideals.

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