List questions from homological-algebra

932

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If $A\otimes I \mapsto AI$ is injective for every every finitely generated ideal of $R$ then $A$ is flat.

Published on 26 Mar 2026 - 4:35

1.4k

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Intuition behind Abstract Homotopy Theory

Published on 27 Sep 2016 - 5:52

1.1k

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Finitely Generated and Flat imply Projective

Published on 27 Sep 2016 - 10:23

565

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Hatcher exercise: 2.1.1

Published on 26 Mar 2026 - 9:25

63

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Clarification of notation for a vector space $\mathbb{Z}/2\mathbb{Z}$

Published on 30 Sep 2016 - 9:44

1k

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Why is the homology group isomorphic to the homology groups of connected components

Published on 01 Oct 2016 - 0:28

688

Views

Categories of complexes are not triangulated

Published on 22 Mar 2026 - 5:59

126

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Is Singular homology the "largest" possible homology theory?

Published on 05 Oct 2016 - 17:48

494

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The relation between $H^i$ and $D$?

Published on 07 Oct 2016 - 7:53

53

Views

False proof that $\chi(A\times B)=\chi(A)+\chi(B)$

Published on 25 Mar 2026 - 17:19

567

Views

Diagram chasing in Abelian categories?

Published on 25 Mar 2026 - 7:41

224

Views

Is there a spectral sequence for Ext associated to an $n$-term exact sequence of modules?

Published on 25 Mar 2026 - 22:25

94

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Given a short exact sequence, is the following true?

Published on 27 Mar 2026 - 21:34

146

Views

Some questions I can't understand.

Published on 10 Oct 2016 - 10:11

53

Views

Need help showing the exact sequence of finite abelian groups splits.

Published on 27 Mar 2026 - 21:37

List Question

If $A\otimes I \mapsto AI$ is injective for every every finitely generated ideal of $R$ then $A$ is flat.

Intuition behind Abstract Homotopy Theory

Finitely Generated and Flat imply Projective

Hatcher exercise: 2.1.1

Clarification of notation for a vector space $\mathbb{Z}/2\mathbb{Z}$

Why is the homology group isomorphic to the homology groups of connected components

Categories of complexes are not triangulated

Is Singular homology the "largest" possible homology theory?

The relation between $H^i$ and $D$?

False proof that $\chi(A\times B)=\chi(A)+\chi(B)$

Diagram chasing in Abelian categories?

Is there a spectral sequence for Ext associated to an $n$-term exact sequence of modules?

Given a short exact sequence, is the following true?

Some questions I can't understand.

Need help showing the exact sequence of finite abelian groups splits.

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