List questions from exact-sequence

416

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Exact sequence $0\to I\cap J \to R \to (R/ I) \times (R/ J) \to R/ (I+J) \to 0$ and Chinese Remainder Theorem

Published on 25 Apr 2021 - 14:50

53

Views

Divisible principle of the exact sequence involved in vector spaces

Published on 26 Apr 2021 - 14:35

110

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The follow sequence splits

Published on 27 Apr 2021 - 4:53

832

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Exact sequence induced by symmetric power of vector spaces

Published on 27 Apr 2021 - 18:16

119

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Calculating ${H_n(X,A)}$, where $X$ is the torus and ${A}$ is $n$ points, using long exact sequences

Published on 01 May 2021 - 17:45

68

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Using Short Exact Sequence to Long Exact Sequence to determine properties of a space of solutions

Published on 03 May 2021 - 14:34

102

Views

Homotopy group of noncompact space

Published on 04 May 2021 - 14:43

62

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$r \mathbb{Z}_n$ is projective as $\mathbb{Z}_n$-module

Published on 31 Mar 2026 - 8:08

87

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A short exact sequence with an ideal

Published on 07 May 2021 - 17:11

163

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$(\Bbb Z\oplus\Bbb Z_d)/\Bbb Z\simeq\Bbb Z_n$ then $d\mid n$

Published on 10 May 2021 - 20:36

93

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Fundamental group of the complement of some quadric cones

Published on 25 Mar 2026 - 22:04

262

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Homology of cylinder relative to its bounding circles

Published on 13 May 2021 - 14:46

185

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prop 2.19 (ii)=>(i) of Atiyah Macdonald

Published on 27 Mar 2026 - 18:26

68

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Why the following implies that $G \cong H$?

Published on 18 May 2021 - 22:07

32

Views

Exact functors in local cohomology

Published on 28 Mar 2026 - 10:40

List Question

Exact sequence $0\to I\cap J \to R \to (R/ I) \times (R/ J) \to R/ (I+J) \to 0$ and Chinese Remainder Theorem

Divisible principle of the exact sequence involved in vector spaces

The follow sequence splits

Exact sequence induced by symmetric power of vector spaces

Calculating ${H_n(X,A)}$, where $X$ is the torus and ${A}$ is $n$ points, using long exact sequences

Using Short Exact Sequence to Long Exact Sequence to determine properties of a space of solutions

Homotopy group of noncompact space

$r \mathbb{Z}_n$ is projective as $\mathbb{Z}_n$-module

A short exact sequence with an ideal

$(\Bbb Z\oplus\Bbb Z_d)/\Bbb Z\simeq\Bbb Z_n$ then $d\mid n$

Fundamental group of the complement of some quadric cones

Homology of cylinder relative to its bounding circles

prop 2.19 (ii)=>(i) of Atiyah Macdonald

Why the following implies that $G \cong H$?

Exact functors in local cohomology

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