List questions from homological-algebra

Published on 25 Mar 2026 - 12:13

147

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$\sum_{i=0}^{n} (-1)^i l(H_i)=\sum_{i=0}^{n} (-1)^i l(G_i)$

Published on 25 Mar 2026 - 19:11

555

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On derived categories of exact categories

Published on 26 Mar 2026 - 1:10

595

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Why can a projective resolution of $A$ be used to calculate $Ext_R^n(A,B)$?

Published on 25 Mar 2026 - 4:40

59

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Wedderburn Artin theorem and module category

Published on 25 Mar 2026 - 10:53

80

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$\text{Hom}_S(S\otimes_R M,N)\cong\text{Hom}_R(M,N)$

Published on 01 Nov 2018 - 2:43

78

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Definition of "objet en catégories".

Published on 03 Nov 2018 - 11:36

78

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Is this sequence exact?

Published on 25 Mar 2026 - 19:17

1.3k

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Wedge sum of spheres is the quotient $X^n/X^{n-1}$

Published on 25 Mar 2026 - 7:44

590

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length of minimal projective resolution and projective dimension

Published on 27 Feb 2026 - 16:17

40

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I am stuck showing a morphism is a monomorphism in a proof about torsion classes and quasitilting modules.

Published on 30 Mar 2026 - 0:05

455

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A question on Hartshorne Chapter III Proposition 2.6

Published on 25 Mar 2026 - 6:01

84

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chain complex of endomorphisms

Published on 28 Mar 2026 - 10:35

677

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Locally free $\mathcal{O}_{X}$ modules are not projective

Published on 28 Mar 2026 - 2:10

39

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Proving that if $A\times A \cong M\times M$ for some A-module M, then $A\times A$ = $N\times M$ for another A-module N

Published on 30 Mar 2026 - 0:05

List Question

question about semisimple ring.

$\sum_{i=0}^{n} (-1)^i l(H_i)=\sum_{i=0}^{n} (-1)^i l(G_i)$

On derived categories of exact categories

Why can a projective resolution of $A$ be used to calculate $Ext_R^n(A,B)$?

Wedderburn Artin theorem and module category

$\text{Hom}_S(S\otimes_R M,N)\cong\text{Hom}_R(M,N)$

Definition of "objet en catégories".

Is this sequence exact?

Wedge sum of spheres is the quotient $X^n/X^{n-1}$

length of minimal projective resolution and projective dimension

I am stuck showing a morphism is a monomorphism in a proof about torsion classes and quasitilting modules.

A question on Hartshorne Chapter III Proposition 2.6

chain complex of endomorphisms

Locally free $\mathcal{O}_{X}$ modules are not projective

Proving that if $A\times A \cong M\times M$ for some A-module M, then $A\times A$ = $N\times M$ for another A-module N

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