List questions from flatness

Published on 04 Jun 2020 - 7:14

82

Views

A question involving faithful flatness, support of a module, and Spectrum of a ring

Published on 06 Jun 2020 - 15:33

465

Views

Contractions and Extensions of Ideals and Faithful Flatness

Published on 06 Jun 2020 - 21:04

236

Views

Flat modules are torsion-free

Published on 07 Jun 2020 - 19:35

169

Views

If $I$ is contained in the Jacobson radical of a Noetherian ring $A$ then $A\to \widehat{A}$ is faithfully flat.

Published on 25 Mar 2026 - 4:43

229

Views

Holonomy of a flat connection around a contractible loop

Published on 10 Jun 2020 - 9:29

220

Views

How can I show that the inclusion $\mathbb{C}[x^2, xy, y^2] \to \mathbb{C}[x, y]$ is not flat?

Published on 20 Jun 2020 - 16:04

393

Views

Every finitely generated free Module over a commutative Ring is flat

Published on 25 Mar 2026 - 23:16

150

Views

Exact sequence of sheaves on nilpotent thickening

Published on 25 Mar 2026 - 11:02

112

Views

Sum of a faithfully flat module and a flat module

Published on 18 Aug 2016 - 14:18

539

Views

Topology of varieties in a flat family

Published on 25 Mar 2026 - 14:25

478

Views

About projective modules, tensor products and injective homomorphisms.

Published on 07 Sep 2016 - 11:32

377

Views

Example of injective ring homomorphism that is not flat.

Published on 21 Sep 2016 - 11:16

254

Views

Universally open and unramified, but not flat

Published on 22 Sep 2016 - 18:13

931

Views

If $A\otimes I \mapsto AI$ is injective for every every finitely generated ideal of $R$ then $A$ is flat.

Published on 24 Sep 2016 - 11:36

List Question

A question related to tensor product of $R$-modules

A question involving faithful flatness, support of a module, and Spectrum of a ring

Contractions and Extensions of Ideals and Faithful Flatness

Flat modules are torsion-free

If $I$ is contained in the Jacobson radical of a Noetherian ring $A$ then $A\to \widehat{A}$ is faithfully flat.

Holonomy of a flat connection around a contractible loop

How can I show that the inclusion $\mathbb{C}[x^2, xy, y^2] \to \mathbb{C}[x, y]$ is not flat?

Every finitely generated free Module over a commutative Ring is flat

Exact sequence of sheaves on nilpotent thickening

Sum of a faithfully flat module and a flat module

Topology of varieties in a flat family

About projective modules, tensor products and injective homomorphisms.

Example of injective ring homomorphism that is not flat.

Universally open and unramified, but not flat

If $A\otimes I \mapsto AI$ is injective for every every finitely generated ideal of $R$ then $A$ is flat.

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