List questions from flatness

Published on 02 Sep 2015 - 14:13

947

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normalization of a curve with a node is not flat

Published on 03 Sep 2015 - 9:11

163

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Smoothness of a subalgebra

Published on 09 Sep 2015 - 17:24

79

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Can the following theorem about flatness be generalized?

Published on 11 Sep 2015 - 10:26

166

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How do we show that something is not a flat module?

Published on 20 Sep 2015 - 12:58

533

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To Show That a Certain Module is Not Flat

Published on 20 Sep 2015 - 17:28

1.8k

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Every finitely generated flat module over a ring with a finite number of minimal primes is projective

Published on 24 Sep 2015 - 22:04

243

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Prove that $\mathbb{Z}$-module is flat.

Published on 25 Sep 2015 - 2:20

860

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Annihilator of a flat module and faithfully flatness

Published on 13 Oct 2015 - 9:28

2.1k

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When is $\Bbb{Z}[\zeta_n]$ a PID?

Published on 25 Oct 2015 - 5:14

202

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Failure of flatness in an integer ring

Published on 27 Oct 2015 - 7:15

54

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Is $\_ \otimes_R R / m$, for some maximal ideal $m$ of $R$ left exact?

Published on 02 Nov 2015 - 4:20

642

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Showing that $I=(3,1+\sqrt{-5})$ is $\mathbb{Z}[\sqrt{-5}]$-flat.

Published on 24 Feb 2026 - 23:54

1k

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Does torsion-free implies flat over a "locally principal" domain?

Published on 12 Nov 2015 - 21:51

430

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B/A a ring extension. B is faithfully flat over A if and only if B/A is a flat A-module.

Published on 13 Nov 2015 - 1:51

List Question

Flatness via factoring homomorphisms

normalization of a curve with a node is not flat

Smoothness of a subalgebra

Can the following theorem about flatness be generalized?

How do we show that something is not a flat module?

To Show That a Certain Module is Not Flat

Every finitely generated flat module over a ring with a finite number of minimal primes is projective

Prove that $\mathbb{Z}$-module is flat.

Annihilator of a flat module and faithfully flatness

When is $\Bbb{Z}[\zeta_n]$ a PID?

Failure of flatness in an integer ring

Is $\_ \otimes_R R / m$, for some maximal ideal $m$ of $R$ left exact?

Showing that $I=(3,1+\sqrt{-5})$ is $\mathbb{Z}[\sqrt{-5}]$-flat.

Does torsion-free implies flat over a "locally principal" domain?

B/A a ring extension. B is faithfully flat over A if and only if B/A is a flat A-module.

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