List questions from local-rings

Published on 25 Jul 2016 - 14:26

858

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Set of zero divisors is an ideal iff the ring is local

Published on 25 Jul 2016 - 21:04

188

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A problem with a proof about formal series in Lang's Algebra

Published on 23 Aug 2016 - 15:43

689

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Krull Dimension of a quotient by a single element

Published on 09 Sep 2016 - 22:15

78

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A particular euclidean function implies the domain is local?

Published on 19 Sep 2016 - 7:43

1k

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Number of generators of a finitely generated module

Published on 09 Oct 2016 - 7:51

34

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Local artinian rings, subgroups of $1+ \mathfrak{m}$

Published on 18 Oct 2016 - 16:49

1k

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Power of maximal ideal in the localization of $k[x,y]$ at $(x,y)$

Published on 02 Nov 2016 - 14:20

158

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When is $RS^{-1}$ a local ring?

Published on 26 Nov 2016 - 18:46

836

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When does the residue field of a local ring embed back into the local ring (nicely)?

Published on 30 Nov 2016 - 16:47

367

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Is all Euclidean domain local?

Published on 06 Dec 2016 - 1:54

383

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local ring (exact one maximal ideal)

Published on 11 Dec 2016 - 15:57

1.2k

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What is the localization of $\mathbb{Z}_{(p)}$ at $p\mathbb{Z}_{(p)}$?

Published on 12 Dec 2016 - 14:36

61

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The tangent cone of $V(f_1,\dots,f_s)$ is equal to $V(g_{1,min},\dots,g_{t,min})$ where $\{g_1,\dots,g_t\}$ is a standard basis for the local ring.

Published on 13 Dec 2016 - 18:30

168

Views

Commutative Local Rings and Jacobson Radical

Published on 21 Dec 2016 - 8:54

List Question

Is $R_\mathfrak{p}$ local when $R$ is noncommutative?

Set of zero divisors is an ideal iff the ring is local

A problem with a proof about formal series in Lang's Algebra

Krull Dimension of a quotient by a single element

A particular euclidean function implies the domain is local?

Number of generators of a finitely generated module

Local artinian rings, subgroups of $1+ \mathfrak{m}$

Power of maximal ideal in the localization of $k[x,y]$ at $(x,y)$

When is $RS^{-1}$ a local ring?

When does the residue field of a local ring embed back into the local ring (nicely)?

Is all Euclidean domain local?

local ring (exact one maximal ideal)

What is the localization of $\mathbb{Z}_{(p)}$ at $p\mathbb{Z}_{(p)}$?

The tangent cone of $V(f_1,\dots,f_s)$ is equal to $V(g_{1,min},\dots,g_{t,min})$ where $\{g_1,\dots,g_t\}$ is a standard basis for the local ring.

Commutative Local Rings and Jacobson Radical

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