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Quartic in the projective space and exact sequence of sheaves

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#algebraic-geometry #sheaf-theory #exact-sequence #coherent-sheaves #projective-varieties
148
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Noetherian modules in exact sequence

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#modules #exact-sequence #noetherian
74
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Exact sequence with following splits

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#abstract-algebra #modules #exact-sequence
111
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exact sequence in group, $0 \to \ker f \to A \to B \to 0$ and subgroup

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#abstract-algebra #group-theory #exact-sequence
1.2k
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Exact sequence with $F$ free splits

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#abstract-algebra #modules #exact-sequence
804
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Understanding the definition of group split extensions

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#abstract-algebra #group-theory #exact-sequence #semidirect-product #group-extensions
150
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If a short exact sequence splits we have a semidirect product

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#abstract-algebra #group-theory #exact-sequence #semidirect-product
143
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Short exact sequences of holomorphic vector bundles

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#differential-geometry #complex-geometry #vector-bundles #exact-sequence
305
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Deriving the long exact sequence of a pair $(X,A)$ from the Mayer-Vietoris sequence

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#general-topology #algebraic-topology #homology-cohomology #exact-sequence #mayer-vietoris-sequence
292
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Long exact sequence of homotopy group

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#algebraic-topology #exact-sequence #higher-homotopy-groups
44
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What is wrong with this proof of $\operatorname{Cl}(X_\Sigma) \simeq \mathbb{Z}^{r-n}$?

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#abstract-algebra #ring-theory #solution-verification #exact-sequence #toric-geometry
45
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Generator of image in fibration homotopy sequence

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#group-theory #algebraic-topology #homology-cohomology #exact-sequence #fiber-bundles
100
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If $A \in \text{R-MOD}$, then $\text{Hom}_R(A,-)$ is left exact.

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#category-theory #proof-explanation #modules #exact-sequence #functors
219
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Show the direct sum of noetherian R-modules is noetherian.

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#abstract-algebra #ring-theory #modules #exact-sequence #direct-sum
198
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Further Question on Showing Split SES

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#abstract-algebra #group-theory #exact-sequence

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