Question

Two possibilities of $X$ to make the sequence $0\longrightarrow\mathbb{Z}\longrightarrow X\longrightarrow\mathbb{Z}_{2}\longrightarrow 0$ exact.

score 78 · Answer 1 · 2026-03-27 07:17:05

78

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Two possibilities of $X$ to make the sequence $0\longrightarrow\mathbb{Z}\longrightarrow X\longrightarrow\mathbb{Z}_{2}\longrightarrow 0$ exact.

Published on 27 Mar 2026 - 7:17

score 84 · Answer 2 · 2026-03-25 13:55:21

84

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Problem 22.39(c) in "Modern Classical Homotopy Theory " by Jeffery Strom on pg.511.

Published on 25 Mar 2026 - 13:55

score 65 · Answer 3 · 2026-03-25 23:53:07

65

Views

Does a functor which is additive by arbitrary isomorphism restrict and corestrict to an actually additive functor?

Published on 25 Mar 2026 - 23:53

score 74 · Answer 4 · 2026-03-25 23:58:47

74

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Is there a functor $F$ of left modules preserving $\oplus$ by arbitrary isomorphism, but its restriction to fin. gen. proj. modules isn't additive?

Published on 25 Mar 2026 - 23:58

score 132 · Answer 5 · 2026-03-27 00:59:02

132

Views

Second homology group of perfect group knowing its cohomology

Published on 27 Mar 2026 - 0:59

score 60 · Answer 6 · 2020-04-14 17:18:38

60

Views

Affine Kodaira dimension

Published on 14 Apr 2020 - 17:18

score 91 · Answer 7 · 2020-04-14 20:46:15

91

Views

Chain complexes and homology groups

Published on 14 Apr 2020 - 20:46

score 56 · Answer 8 · 2026-03-26 02:46:57

56

Views

If $B$ is a flat $A$-algebra then $B_{\mathrm{red}}$ is a flat $A_{\mathrm{red}}$-algebra

Published on 26 Mar 2026 - 2:46

score 32 · Answer 9 · 2020-04-15 09:30:58

32

Views

Question about axiom A4 of abelian category

Published on 15 Apr 2020 - 9:30

score 79 · Answer 10 · 2026-03-25 12:15:20

79

Views

Kunneth formula proof doubt, and natural transformation

Published on 25 Mar 2026 - 12:15

score 498 · Answer 11 · 2026-04-02 20:26:11

498

Views

Monomorphisms and epimorphisms in the category of chain complexes

Published on 02 Apr 2026 - 20:26

score 208 · Answer 12 · 2020-04-15 17:46:28

208

Views

Injective objects in the category of $G$-modules

Published on 15 Apr 2020 - 17:46

score 19 · Answer 13 · 2026-03-30 14:59:08

19

Views

When $f$ induced $0$ homomorphism, then $f$ is homotopic $0$?

Published on 30 Mar 2026 - 14:59

score 139 · Answer 14 · 2026-03-27 23:35:29

139

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$\rho:P \to M$ a projective cover for $M$ semi-perfect module. Prove $M$ is indecomposable if and only if $P$ is indecomposable.

Published on 27 Mar 2026 - 23:35

score 164 · Answer 15 · 2026-03-27 07:18:33

164

Views

Splitting of short exact sequence of sheaves of vector spaces

Published on 27 Mar 2026 - 7:18

List Question

Two possibilities of $X$ to make the sequence $0\longrightarrow\mathbb{Z}\longrightarrow X\longrightarrow\mathbb{Z}_{2}\longrightarrow 0$ exact.

Problem 22.39(c) in "Modern Classical Homotopy Theory " by Jeffery Strom on pg.511.

Does a functor which is additive by arbitrary isomorphism restrict and corestrict to an actually additive functor?

Is there a functor $F$ of left modules preserving $\oplus$ by arbitrary isomorphism, but its restriction to fin. gen. proj. modules isn't additive?

Second homology group of perfect group knowing its cohomology

Affine Kodaira dimension

Chain complexes and homology groups

If $B$ is a flat $A$-algebra then $B_{\mathrm{red}}$ is a flat $A_{\mathrm{red}}$-algebra

Question about axiom A4 of abelian category

Kunneth formula proof doubt, and natural transformation

Monomorphisms and epimorphisms in the category of chain complexes

Injective objects in the category of $G$-modules

When $f$ induced $0$ homomorphism, then $f$ is homotopic $0$?

$\rho:P \to M$ a projective cover for $M$ semi-perfect module. Prove $M$ is indecomposable if and only if $P$ is indecomposable.

Splitting of short exact sequence of sheaves of vector spaces

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