List questions from exact-sequence

Published on 15 Mar 2018 - 11:54

380

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Miscellaneous Questions involving Tensor Products, Exact Sequences, and Algebras

Published on 24 Mar 2026 - 22:01

169

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Proving a diagram chase result from standard lemmas

Published on 19 Mar 2026 - 8:24

94

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Show that $a+b+c+d$ is even in the following exact sequence

Published on 22 Mar 2018 - 22:41

694

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How to write long exact sequence as short exact sequence of complex?

Published on 23 Mar 2018 - 17:03

196

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If sequence of vector spaces is exact then the sequence of duals is also exact

Published on 25 Mar 2026 - 0:07

328

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Why $f'$ is an isomorphism if the rightmost square is a pullback?

Published on 19 Mar 2026 - 21:12

415

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Why the rightmost square is a pullback?

Published on 19 Mar 2026 - 21:17

312

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Exact sequences in category theory

Published on 22 Mar 2026 - 6:29

179

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Finitely generated projective module $M$ over integral domain $R$ such that $M \oplus R \cong R^2$ and $M\otimes N \cong R$ for some module $N$

Published on 22 Mar 2026 - 10:54

265

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$(A/\mathfrak{a}) \otimes_A M \simeq M / \mathfrak{a}M$ by tensoring the canonical exact sequence.

Published on 30 Mar 2018 - 4:38

131

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abelian group, direct summand

Published on 25 Mar 2026 - 6:00

100

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Question concerning exact sequences of $R$-modules

Published on 22 Mar 2026 - 10:51

84

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Exactness of the functor $(\quad)^G$ for $G=k^\times$

Published on 22 Mar 2026 - 10:48

341

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Natural exact sequence associated to a group/module filtration

Published on 16 Apr 2018 - 2:30

List Question

Proof that a short exact sequence does not split

Miscellaneous Questions involving Tensor Products, Exact Sequences, and Algebras

Proving a diagram chase result from standard lemmas

Show that $a+b+c+d$ is even in the following exact sequence

How to write long exact sequence as short exact sequence of complex?

If sequence of vector spaces is exact then the sequence of duals is also exact

Why $f'$ is an isomorphism if the rightmost square is a pullback?

Why the rightmost square is a pullback?

Exact sequences in category theory

Finitely generated projective module $M$ over integral domain $R$ such that $M \oplus R \cong R^2$ and $M\otimes N \cong R$ for some module $N$

$(A/\mathfrak{a}) \otimes_A M \simeq M / \mathfrak{a}M$ by tensoring the canonical exact sequence.

abelian group, direct summand

Question concerning exact sequences of $R$-modules

Exactness of the functor $(\quad)^G$ for $G=k^\times$

Natural exact sequence associated to a group/module filtration

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