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15
Math.TechQA.Club
2016-02-16 20:33:04
452
Views
Splitting of Short Exact sequence
Published on
16 Feb 2016 - 20:33
#abstract-algebra
#homological-algebra
#exact-sequence
718
Views
How does a short exact sequence say something about a group?
Published on
27 Mar 2026 - 10:32
#group-theory
#finite-groups
#exact-sequence
#simple-groups
224
Views
Why do linear splitting maps of Lie Algebra central extensions induce cocycles?
Published on
07 Mar 2026 - 10:58
#linear-algebra
#lie-algebras
#exact-sequence
#central-extensions
208
Views
Show that a sequence is a free resolution
Published on
25 Feb 2016 - 8:40
#commutative-algebra
#modules
#homological-algebra
#exact-sequence
149
Views
Relation between ranks of free sheaves and cohomology
Published on
27 Mar 2026 - 19:10
#algebraic-geometry
#homological-algebra
#exact-sequence
#sheaf-cohomology
137
Views
Splitting Lemma where $C=\mathbb{Z}.$
Published on
29 Feb 2016 - 9:30
#homological-algebra
#exact-sequence
1.3k
Views
What is a direct limit of exact sequences?
Published on
27 Mar 2026 - 19:53
#algebraic-topology
#homology-cohomology
#homological-algebra
#exact-sequence
#limits-colimits
148
Views
How to prove the following sequence is exact?
Published on
27 Mar 2026 - 3:49
#abstract-algebra
#modules
#exact-sequence
#projective-module
#injective-module
1.1k
Views
What is the most general category in which exist short exact sequences?
Published on
29 Mar 2026 - 6:38
#category-theory
#exact-sequence
#abelian-categories
314
Views
Rank Nullity Theorem (Short Exact Sequences)
Published on
06 Mar 2016 - 22:45
#linear-algebra
#exact-sequence
322
Views
how to prove the following sequence is exact
Published on
26 Mar 2026 - 22:13
#abstract-algebra
#tensor-products
#exact-sequence
#flatness
7.1k
Views
Show that a Z-module A is flat if and only if it is torsion-free?
Published on
27 Mar 2026 - 0:05
#abstract-algebra
#tensor-products
#exact-sequence
#flatness
230
Views
Find an exact sequence from a module $M$ to direct sum of localizations of $M$ in a finitely generated ring
Published on
10 Mar 2016 - 7:40
#abstract-algebra
#ring-theory
#modules
#exact-sequence
#localization
751
Views
Bockstein homomorphism and the universal coefficient theorem
Published on
11 Mar 2016 - 7:54
#algebraic-topology
#homological-algebra
#homology-cohomology
#geometric-topology
#exact-sequence
129
Views
Why isn't $1 \to \mathbb{Z}_2 \to \mathbb{Z}_4 \to \mathbb{Z}_2 \to 1$ a split extension?
Published on
26 Mar 2026 - 3:12
#group-theory
#exact-sequence
#semidirect-product
#group-extensions
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