List questions from flatness

Published on 30 Apr 2017 - 23:07

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Is $Hom_k(A,N)$ a flat $A^e$-module?

Published on 09 Mar 2026 - 5:49

327

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Ring extensions $A \subseteq B$ such that $P^{ce}=P$, for every prime ideal $P$ of $B$

Published on 05 Jun 2017 - 13:07

476

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Tensoring short exact sequence being exact for all finitely presented modules implies pure exact(No direct limit proof)

Published on 06 Jun 2017 - 2:31

141

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A generalization of Nagata's flatness theorem

Published on 11 Jun 2017 - 23:41

355

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Tor and Flatness of finite type modules in local rings

Published on 15 Jun 2017 - 19:47

1.5k

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Flat Modules and Localization at prime ideal

Published on 26 Jun 2017 - 7:48

283

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A book teaches tensor products and flatness without the use of categorical stuffs?

Published on 27 Jun 2017 - 9:47

481

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Proof of Theorem 9.9 in Part III of Hartshorne's Algebraic Geometry

Published on 25 Mar 2026 - 20:35

450

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Field extension and faithfully flatness

Published on 25 Jul 2017 - 8:52

186

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Characterisation of faithfully flat homomorphisms

Published on 11 Aug 2017 - 12:24

53

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$R$ be a commutative ring , $A$ be an $R$-algebra , $M$ be an $A$-module , $M_m$ is flat over $R_{m\cap R}$ for every $m\in max(A)$

Published on 04 Sep 2017 - 15:33

93

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Cohen-Macaulay Analytic Rings

Published on 26 Mar 2026 - 1:07

96

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How can I show flatness of this morphism using local algebra?

Published on 18 Sep 2017 - 1:17

1.3k

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Prove that M is flat if and only if each $M_i$ is flat.

Published on 24 Sep 2017 - 13:37

List Question

Localization and faithfully flat algebras

Is $Hom_k(A,N)$ a flat $A^e$-module?

Ring extensions $A \subseteq B$ such that $P^{ce}=P$, for every prime ideal $P$ of $B$

Tensoring short exact sequence being exact for all finitely presented modules implies pure exact(No direct limit proof)

A generalization of Nagata's flatness theorem

Tor and Flatness of finite type modules in local rings

Flat Modules and Localization at prime ideal

A book teaches tensor products and flatness without the use of categorical stuffs?

Proof of Theorem 9.9 in Part III of Hartshorne's Algebraic Geometry

Field extension and faithfully flatness

Characterisation of faithfully flat homomorphisms

$R$ be a commutative ring , $A$ be an $R$-algebra , $M$ be an $A$-module , $M_m$ is flat over $R_{m\cap R}$ for every $m\in max(A)$

Cohen-Macaulay Analytic Rings

How can I show flatness of this morphism using local algebra?

Prove that M is flat if and only if each $M_i$ is flat.

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