List questions from derived-functors

Published on 16 Jun 2019 - 19:40

594

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Does the vanishing of the first derived functor really imply a functor is exact?

Published on 17 Jun 2019 - 16:37

155

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definition of dualizing complex (from Stacks project)

Published on 29 Jun 2019 - 17:58

534

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"Commutativity" of Tor functor

Published on 06 Jul 2019 - 22:18

106

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Derived functor of the realisation in a simplicial model category

Published on 15 Jul 2019 - 10:31

189

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$\mathrm{Ext}^1(N,M)=0$ for all cyclic modules $N$ implies $M$ is injective.

Published on 24 Jul 2019 - 2:57

169

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Taking stalks and right derived functors of a special type of additive left exact functors

Published on 25 Jul 2019 - 17:01

230

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Proof that Ext Sheaves $\mathscr{Ext}^i _{O_Y}(\mathcal{F}, \mathcal{G})$ are Coherent

Published on 31 Jul 2019 - 14:30

204

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Motivation/intuition behind the definition of delta-functors and related concepts

Published on 13 Aug 2019 - 15:37

85

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Reference request for "higher order" adjoint functors?

Published on 22 Aug 2019 - 0:26

62

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On possible closure operation induced by derived functors

Published on 19 Mar 2026 - 20:56

15

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how is the target of $\text{tor}_n^R(A,\ )$ related to $\mathbf{Ab}$?

Published on 06 Mar 2026 - 5:27

166

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First Isomorphism Theorem/use

Published on 30 Aug 2019 - 17:27

86

Views

Characterisation of trivial $n$-extensions

Published on 13 Sep 2019 - 9:37

1k

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Having trouble understanding the Tor functor

Published on 12 Mar 2014 - 18:43

List Question

Derived functor for of a projective module.

Does the vanishing of the first derived functor really imply a functor is exact?

definition of dualizing complex (from Stacks project)

"Commutativity" of Tor functor

Derived functor of the realisation in a simplicial model category

$\mathrm{Ext}^1(N,M)=0$ for all cyclic modules $N$ implies $M$ is injective.

Taking stalks and right derived functors of a special type of additive left exact functors

Proof that Ext Sheaves $\mathscr{Ext}^i _{O_Y}(\mathcal{F}, \mathcal{G})$ are Coherent

Motivation/intuition behind the definition of delta-functors and related concepts

Reference request for "higher order" adjoint functors?

On possible closure operation induced by derived functors

how is the target of $\text{tor}_n^R(A,\ )$ related to $\mathbf{Ab}$?

First Isomorphism Theorem/use

Characterisation of trivial $n$-extensions

Having trouble understanding the Tor functor

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