Question

Want to know more about exact sequences of homomorphisms

score 143 · Answer 1 · 2023-08-19 05:42:03

143

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Want to know more about exact sequences of homomorphisms

Published on 19 Aug 2023 - 5:42

score 44 · Answer 2 · 2026-03-25 14:08:18

44

Views

Is the projective direct summand of middle of an exact sequence is determined by others?

Published on 25 Mar 2026 - 14:08

score 25 · Answer 3 · 2026-02-23 12:06:37

25

Views

Homology of exterior of a solid knot in $S^3$

Published on 23 Feb 2026 - 12:06

score 50 · Answer 4 · 2023-09-05 21:31:24

50

Views

Cohomology of the unique non-split extension of the structure sheaf on an elliptic curve via long exact sequence

Published on 05 Sep 2023 - 21:31

score 65 · Answer 5 · 2023-09-08 19:53:36

65

Views

Question on Proof of Splitting Lemma for Modules

Published on 08 Sep 2023 - 19:53

score 24 · Answer 6 · 2023-09-09 00:13:10

24

Views

Construct a short exact sequence that is not split

Published on 09 Sep 2023 - 0:13

score 17 · Answer 7 · 2023-09-13 12:34:55

17

Views

Exactness and tensor product questions based on $A/\mathfrak{a} \otimes M \cong M/\mathfrak{a} M$

Published on 13 Sep 2023 - 12:34

score 39 · Answer 8 · 2023-09-15 10:06:39

39

Views

Proving a lemma about an extending $R$ module with no $M$-singular direct summands in "Extending modules" (1994)

Published on 15 Sep 2023 - 10:06

score 24 · Answer 9 · 2023-09-17 14:01:48

24

Views

Duality in extension groups of $k$-linear abelian categories

Published on 17 Sep 2023 - 14:01

score 85 · Answer 10 · 2023-09-18 06:22:37

85

Views

The kernel of a homomorphism at the end of an exact sequence

Published on 18 Sep 2023 - 6:22

score 79 · Answer 11 · 2026-03-25 15:42:14

79

Views

$\operatorname{Tor}^{\mathbb{Z}}_1(-,-)$ on finite abelian groups is not right exact?

Published on 25 Mar 2026 - 15:42

score 52 · Answer 12 · 2023-09-20 15:55:38

52

Views

Exact linear sequences of linear maps

Published on 20 Sep 2023 - 15:55

score 52 · Answer 13 · 2023-09-30 00:57:55

52

Views

Show that if $\operatorname{Hom}_{R}(-,D)$ is exact then the original sequence $0 \to L \to M \to N \to 0$ is split exact.

Published on 30 Sep 2023 - 0:57

score 21 · Answer 14 · 2023-09-30 13:50:33

Exact sequence is such that it lifts for every homomorphism to another R-module, then it lifts to $\operatorname{Hom}_{\mathbb{Z}}(R,M)$

score 81 · Answer 15 · 2026-03-26 21:25:31

81

Views

Is this functor exact?

Published on 26 Mar 2026 - 21:25

List Question

Want to know more about exact sequences of homomorphisms

Is the projective direct summand of middle of an exact sequence is determined by others?

Homology of exterior of a solid knot in $S^3$

Cohomology of the unique non-split extension of the structure sheaf on an elliptic curve via long exact sequence

Question on Proof of Splitting Lemma for Modules

Construct a short exact sequence that is not split

Exactness and tensor product questions based on $A/\mathfrak{a} \otimes M \cong M/\mathfrak{a} M$

Proving a lemma about an extending $R$ module with no $M$-singular direct summands in "Extending modules" (1994)

Duality in extension groups of $k$-linear abelian categories

The kernel of a homomorphism at the end of an exact sequence

$\operatorname{Tor}^{\mathbb{Z}}_1(-,-)$ on finite abelian groups is not right exact?

Exact linear sequences of linear maps

Show that if $\operatorname{Hom}_{R}(-,D)$ is exact then the original sequence $0 \to L \to M \to N \to 0$ is split exact.

Exact sequence is such that it lifts for every homomorphism to another R-module, then it lifts to $\operatorname{Hom}_{\mathbb{Z}}(R,M)$

Is this functor exact?

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