List questions from homological-algebra

Published on 26 Mar 2026 - 22:55

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Restriction maps in the cohomology of $(\mathbb{Z}/p\mathbb{Z})^2$

Published on 26 Mar 2026 - 22:58

50

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Is the delta module injective?

Published on 01 Apr 2026 - 8:45

542

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For $A \subset X$, $C_n(X) \cong C_{n}(A) \oplus C_n(X,A)$ doesn't imply $H_n(X) \cong H_{n}(A) \oplus H_n(X,A)$ in general.

Published on 27 Mar 2026 - 1:48

87

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Kunneth theorem for Hom

Published on 12 Feb 2020 - 22:15

56

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Relation between two definition of second cohomology groups.

Published on 13 Feb 2020 - 12:51

178

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Does $\mathbb{F}_2$ have a finite free resolution as an $\mathbb{F}_2[\mathbb{Q}]$-module?

Published on 26 Mar 2026 - 21:08

269

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Idempotent completion

Published on 16 Feb 2020 - 16:40

69

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$\widetilde{H}^n(X,\Bbb Z_p)=0$ for all $n$, odd primes $p$ implies $\widetilde{ H}^n(X,\Bbb Z)$ consists entirely of elements of order a power of $2$

Published on 17 Feb 2020 - 14:52

88

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Equivalent condition to exactness

Published on 26 Mar 2026 - 6:19

131

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A ring for which the contravariant hom functor (dual functor) is conservative.

Published on 18 Feb 2020 - 4:40

336

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How to construct a short exact sequence of complexes

Published on 25 Mar 2026 - 12:32

128

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Ring $C([0,1])$

Published on 19 Feb 2020 - 9:07

255

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Let $M$ be a semisimple right module over the ring $R$, and let $T:= End_{R}(M)$, $M$ is a semisimple left module over the ring $T$.

Published on 19 Feb 2020 - 17:08

77

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Exact sequences of indecomposable Kronecker-modules

Published on 27 Feb 2026 - 16:17

List Question

Is it true that $H_n(C_{}(X)^{nor} \otimes M) \cong H_n(C_{}^{\neq}(X) \otimes M)$?

Restriction maps in the cohomology of $(\mathbb{Z}/p\mathbb{Z})^2$

Is the delta module injective?

For $A \subset X$, $C_n(X) \cong C_{n}(A) \oplus C_n(X,A)$ doesn't imply $H_n(X) \cong H_{n}(A) \oplus H_n(X,A)$ in general.

Kunneth theorem for Hom

Relation between two definition of second cohomology groups.

Does $\mathbb{F}_2$ have a finite free resolution as an $\mathbb{F}_2[\mathbb{Q}]$-module?

Idempotent completion

$\widetilde{H}^n(X,\Bbb Z_p)=0$ for all $n$, odd primes $p$ implies $\widetilde{ H}^n(X,\Bbb Z)$ consists entirely of elements of order a power of $2$

Equivalent condition to exactness

A ring for which the contravariant hom functor (dual functor) is conservative.

How to construct a short exact sequence of complexes

Ring $C([0,1])$

Let $M$ be a semisimple right module over the ring $R$, and let $T:= End_{R}(M)$, $M$ is a semisimple left module over the ring $T$.

Exact sequences of indecomposable Kronecker-modules

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