List questions from derived-functors

Published on 15 Apr 2013 - 21:07

654

Views

Computation of the hom-set of a comodule over a coalgebra: $Ext_{E(x)}(k, E(x)) = P(y)$.

Published on 26 Mar 2026 - 4:53

489

Views

Equivalence between Ext and Hom

Published on 02 Jul 2013 - 17:20

626

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Description of Tor via the derived category?

Published on 04 Jul 2013 - 9:17

190

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On the element $2\in\mathrm{Ext}(\mathbb Z/4,\mathbb Z)$.

Published on 26 Mar 2026 - 6:33

118

Views

Does $\varprojlim\ ^1$ vanish whenever it doesn't have to account for non-right exactness of $\varprojlim$?

Published on 03 Sep 2013 - 12:25

1.2k

Views

$\mathrm{Tor}_1(R/a,M)$ and $\mathrm{Ext}^1_R(R/a,M)$, $a\in R$ a non-zero divisor

Published on 08 Sep 2013 - 23:40

560

Views

Derived functors definition

Published on 11 Sep 2013 - 15:28

423

Views

$\operatorname{Ann}_RA+\operatorname{Ann}_RB\subseteq\operatorname{Ann}_R\operatorname{Ext}^n_R(A,B)$?

Published on 17 Sep 2013 - 21:26

1.8k

Views

What does it mean to have exact derived functors?

Published on 21 Sep 2013 - 17:19

59

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Why is dual functor continuous?

Published on 04 Oct 2013 - 4:06

775

Views

What is a concrete example of why one wants to have a derived category in algebraic geometry?

Published on 01 Dec 2013 - 0:50

126

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Reference request: localisation of categories

Published on 04 Dec 2013 - 0:39

202

Views

Derived functors and coboundary operator

Published on 12 Dec 2013 - 12:02

1k

Views

Derived Distributions: PDF of -ln|X| [answered]

Published on 14 Dec 2013 - 10:39

List Question

Equivalence of categories and derived functors.

Computation of the hom-set of a comodule over a coalgebra: $Ext_{E(x)}(k, E(x)) = P(y)$.

Equivalence between Ext and Hom

Description of Tor via the derived category?

On the element $2\in\mathrm{Ext}(\mathbb Z/4,\mathbb Z)$.

Does $\varprojlim\ ^1$ vanish whenever it doesn't have to account for non-right exactness of $\varprojlim$?

$\mathrm{Tor}_1(R/a,M)$ and $\mathrm{Ext}^1_R(R/a,M)$, $a\in R$ a non-zero divisor

Derived functors definition

$\operatorname{Ann}_RA+\operatorname{Ann}_RB\subseteq\operatorname{Ann}_R\operatorname{Ext}^n_R(A,B)$?

What does it mean to have exact derived functors?

Why is dual functor continuous?

What is a concrete example of why one wants to have a derived category in algebraic geometry?

Reference request: localisation of categories

Derived functors and coboundary operator

Derived Distributions: PDF of -ln|X| [answered]

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