List questions from homological-algebra

Published on 05 Dec 2014 - 16:50

60

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$I+J=R$ and $IJ$ is principal. prove that $I$ is a projective module.

Published on 08 Dec 2014 - 16:41

124

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Homology of Derivations of a dgca algebra

Published on 25 Mar 2026 - 11:04

1k

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Is there a non-projective submodule of a free module?

Published on 08 Dec 2014 - 19:23

81

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If $f= \mathrm{ker}\,g$, then $g = \mathrm{coker}\,f$?

Published on 11 Dec 2014 - 15:56

130

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Chain complexes as a model category?

Published on 15 Dec 2014 - 4:58

163

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Homology of the complement of a real hypersurface

Published on 19 Dec 2014 - 15:10

87

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Extension of nonisomorphic simple objects

Published on 20 Dec 2014 - 11:40

1.1k

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Motivation for Definition of Derived Category

Published on 25 Mar 2026 - 12:34

382

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Non-Universal Delta Functors

Published on 22 Dec 2014 - 8:21

5.4k

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Understanding the Definition of the Tensor Product of Chain Complexes

Published on 22 Dec 2014 - 17:32

416

Views

Question on adjoint functors

Published on 25 Mar 2026 - 15:56

106

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Homological algebra and Grothendieck Topologies

Published on 25 Mar 2026 - 11:13

937

Views

Projective resolution of $k$ over $R=k[x,y]/(xy)$

Published on 26 Dec 2014 - 10:56

175

Views

A non flat $R$-module $M$ with $\operatorname{Tor}_{n}^R(k,M)=0$ for all $n\ge 1$

Published on 26 Dec 2014 - 17:47

List Question

About mapping cone complex

$I+J=R$ and $IJ$ is principal. prove that $I$ is a projective module.

Homology of Derivations of a dgca algebra

Is there a non-projective submodule of a free module?

If $f= \mathrm{ker}\,g$, then $g = \mathrm{coker}\,f$?

Chain complexes as a model category?

Homology of the complement of a real hypersurface

Extension of nonisomorphic simple objects

Motivation for Definition of Derived Category

Non-Universal Delta Functors

Understanding the Definition of the Tensor Product of Chain Complexes

Question on adjoint functors

Homological algebra and Grothendieck Topologies

Projective resolution of $k$ over $R=k[x,y]/(xy)$

A non flat $R$-module $M$ with $\operatorname{Tor}_{n}^R(k,M)=0$ for all $n\ge 1$

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