List questions from homological-algebra

Published on 10 Oct 2014 - 4:15

1k

Views

Let $f$ be a morphism of chain complexes. Show that if $ker(f)$ and $coker(f)$ are acyclic, then $f$ is a quasi-isomorphism.

Published on 10 Oct 2014 - 4:16

673

Views

The Verdier Quotient

Published on 24 Mar 2026 - 21:52

377

Views

exercise 6.15 from joseph rotman's introduction to homological algebra .

Published on 10 Oct 2014 - 22:15

2k

Views

Forgetful functor from R-modules to abelian groups?

Published on 12 Oct 2014 - 11:14

312

Views

Koszul complex and locally free resolution

Published on 12 Oct 2014 - 15:08

229

Views

duality for (co)homology of Lie algebras

Published on 23 Mar 2026 - 1:16

45

Views

Prove that $M$ is a complex.

Published on 13 Oct 2014 - 6:09

89

Views

Can a chain subcomplex be a direct summand but it's 'origin' is not? (group homology)

Published on 13 Oct 2014 - 15:52

134

Views

Analogue in algebra for characteristic classes?

Published on 26 Mar 2026 - 14:28

290

Views

The first cohomology group $H^1(G,\mathbb{Z})$ for $G$ finite

Published on 26 Mar 2026 - 12:48

1.3k

Views

Total complex homology exact sequence

Published on 25 Mar 2026 - 16:20

944

Views

Pullback and Kernel

Published on 26 Mar 2026 - 14:26

266

Views

What is the trivial module functor?

Published on 21 Oct 2014 - 18:58

238

Views

Reference request for equality of torsion of H1 and H2

Published on 29 Mar 2026 - 12:32

List Question

Undergrad level presentation on homological algebra and some related topics

Let $f$ be a morphism of chain complexes. Show that if $ker(f)$ and $coker(f)$ are acyclic, then $f$ is a quasi-isomorphism.

The Verdier Quotient

exercise 6.15 from joseph rotman's introduction to homological algebra .

Forgetful functor from R-modules to abelian groups?

Koszul complex and locally free resolution

duality for (co)homology of Lie algebras

Prove that $M$ is a complex.

Can a chain subcomplex be a direct summand but it's 'origin' is not? (group homology)

Analogue in algebra for characteristic classes?

The first cohomology group $H^1(G,\mathbb{Z})$ for $G$ finite

Total complex homology exact sequence

Pullback and Kernel

What is the trivial module functor?

Reference request for equality of torsion of H1 and H2

Trending Questions

Popular # Hahtags

Popular Questions