List questions from maximal-and-prime-ideals

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Spectrum of infinite product of rings

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Localization $(R_{\mathfrak p})_{\mathfrak q}$ for an Artinian ring.

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Localizations of an Artinian ring are isomorphic to quotients.

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Spectrum of $\mathbb{Z}^\mathbb{N}$

Published on 17 Nov 2015 - 10:08

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Ideals of the ring of power set

Published on 19 Nov 2015 - 8:33

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$X$ compact Hausdorff implies $x\mapsto \mathfrak{m}_x$ is a homeomorphism

Published on 19 Nov 2015 - 11:26

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Minimal prime ideals and nilpotents

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Nilradical equals intersection of all prime ideals

Published on 21 Nov 2015 - 16:54

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Not finitely generated ideal but only contained in finitely generated ideals implies ideal is prime

Published on 22 Nov 2015 - 2:52

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Connection of associated primes to the ground ring

Published on 22 Nov 2015 - 18:33

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Is $A/\varphi^{-1}(\mathfrak{m})\subseteq B/\mathfrak{m}$ an integral extension?

Published on 23 Nov 2015 - 8:53

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Every element outside the maximal ideal of a local ring is a unit

Published on 25 Nov 2015 - 22:41

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Artin's Algebra exercise special case of some theorem/problem?

Published on 26 Nov 2015 - 9:36

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What is the degree of a prime ideal?

Published on 28 Nov 2015 - 23:59

List Question

Embedded Associated Primes (Matsumura, CRT, Exercise 13.3)

Spectrum of infinite product of rings

Localization $(R_{\mathfrak p})_{\mathfrak q}$ for an Artinian ring.

Localizations of an Artinian ring are isomorphic to quotients.

Spectrum of $\mathbb{Z}^\mathbb{N}$

Ideals of the ring of power set

$X$ compact Hausdorff implies $x\mapsto \mathfrak{m}_x$ is a homeomorphism

Minimal prime ideals and nilpotents

Nilradical equals intersection of all prime ideals

Not finitely generated ideal but only contained in finitely generated ideals implies ideal is prime

Connection of associated primes to the ground ring

Is $A/\varphi^{-1}(\mathfrak{m})\subseteq B/\mathfrak{m}$ an integral extension?

Every element outside the maximal ideal of a local ring is a unit

Artin's Algebra exercise special case of some theorem/problem?

What is the degree of a prime ideal?

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