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15
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Concerning Hartshorne's proof of the Vanishing Theorem of Grothendieck (Hartshorne III 2.7)

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#algebraic-geometry #sheaf-theory #exact-sequence #sheaf-cohomology
47
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Showing right-exactness of a sequence between modules

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#abstract-algebra #modules #exact-sequence
53
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Projective tensor product on projective LCM is exact

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#functional-analysis #tensor-products #exact-sequence #locally-convex-spaces
524
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Automorphism group of the projective unitary group PU(N) and SO(N)

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#algebraic-topology #representation-theory #lie-groups #exact-sequence #automorphism-group
527
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The exact sequence of tensor product

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#modules #tensor-products #exact-sequence #free-modules
84
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Left Exactness of global sections functor over quasi compact sheaves

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#algebraic-geometry #modules #sheaf-theory #exact-sequence #quasicoherent-sheaves
92
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Given a split exact sequence $0 \to N \to M \to M \to 0$, when can we say $N=0$?

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#abstract-algebra #ring-theory #commutative-algebra #modules #exact-sequence
1.9k
Views

Serre's Vanishing Theorem

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#algebraic-geometry #homology-cohomology #schemes #exact-sequence #sheaf-cohomology
327
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Exact functor and relationship between Ext functors

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#homological-algebra #exact-sequence #abelian-categories
451
Views

What is the kernel of the induced map on symmetric algebras?

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#commutative-algebra #exact-sequence
85
Views

Equivalent condition to left exactness

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#category-theory #homological-algebra #exact-sequence #functors
172
Views

Flaw in the proof that $M$ is noetherian given exact sequence?

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#abstract-algebra #ring-theory #exact-sequence #noetherian
119
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Examples of coexact sequences of groups which are not exact

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#abstract-algebra #group-theory #exact-sequence
188
Views

Naturality of an exact sequence

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#algebraic-topology #commutative-algebra #exact-sequence #functors #natural-transformations
77
Views

Show that any monomorphism and a homomorphism can be embedded into a commutative diagram with exact rows.

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#abstract-algebra #modules #homological-algebra #exact-sequence

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