List questions from exact-sequence

Published on 15 Mar 2022 - 16:38

487

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Ext and split short exact sequence

Published on 25 Mar 2022 - 3:11

88

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Direct sum and short exact sequence, as well as, tensor product and what?

Published on 14 Apr 2022 - 20:50

100

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For a family of short exact sequences of coherent sheaves, can we define the splitting subscheme?

Published on 27 Mar 2026 - 6:51

125

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Action of a map on homology

Published on 21 Apr 2022 - 8:40

37

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An exact sequence of cyclic groups related to the lcm

Published on 22 Apr 2022 - 19:00

152

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Splitting Lemma for Vector Bundles

Published on 01 Apr 2026 - 1:30

108

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On an exact sequence of complex vector spaces

Published on 26 Apr 2022 - 11:22

46

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Exactness of sequence induced by $\operatorname{Hom}(G,\cdot)$.

Published on 26 Mar 2026 - 2:45

34

Views

Exact sequence splits iff it kind of weakly splits through other sequence

Published on 07 May 2022 - 4:43

45

Views

$A$ noetherian ring, $M$ finite $A$-module. Why is this an exact sequence?

Published on 15 May 2022 - 13:54

69

Views

Set of complementary subspaces as an affine space

Published on 31 Mar 2026 - 22:44

83

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Equivalent Definition of injective $R$-module using exact sequences

Published on 28 Mar 2026 - 0:54

50

Views

How to conclude the order of $G$ is $p^{m+n}$.

Published on 23 May 2022 - 2:00

113

Views

Show that $R/I\otimes_R I\cong R/I\oplus R/I$ and $\text{Frac } R\otimes_R I\cong \text{Frac } R$

Published on 29 Mar 2026 - 22:44

List Question

Proof that sequence is not split using left inverse

Ext and split short exact sequence

Direct sum and short exact sequence, as well as, tensor product and what?

For a family of short exact sequences of coherent sheaves, can we define the splitting subscheme?

Action of a map on homology

An exact sequence of cyclic groups related to the lcm

Splitting Lemma for Vector Bundles

On an exact sequence of complex vector spaces

Exactness of sequence induced by $\operatorname{Hom}(G,\cdot)$.

Exact sequence splits iff it kind of weakly splits through other sequence

$A$ noetherian ring, $M$ finite $A$-module. Why is this an exact sequence?

Set of complementary subspaces as an affine space

Equivalent Definition of injective $R$-module using exact sequences

How to conclude the order of $G$ is $p^{m+n}$.

Show that $R/I\otimes_R I\cong R/I\oplus R/I$ and $\text{Frac } R\otimes_R I\cong \text{Frac } R$

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