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filtered chain complex definition

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#homological-algebra #filtered-modules
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Are there formulas to get the (co)homology of a group $G$ from a presentation of $G$?

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#reference-request #homology-cohomology #homological-algebra
177
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Can we "integrate" functors?

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#category-theory #homological-algebra #derived-functors
41
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Checking equality of kernel of module maps

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#abstract-algebra #homological-algebra
545
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When does $\mathrm{Ext}^\ast(K,{-})$ preserve filtered colimits?

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#category-theory #homological-algebra #abelian-categories
149
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Connecting homomorphism anti-commutative.

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#abstract-algebra #homological-algebra
1.2k
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Homology of Mapping Cone is Trivial--Proof from scratch

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#abstract-algebra #algebraic-topology #category-theory #homology-cohomology #homological-algebra
73
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Koszul complex via alternating functions

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#proof-verification #commutative-algebra #modules #homological-algebra
199
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projective resolution of bimodules

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#homological-algebra #projective-module
33
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Looking for an example of a local homomorphism between regular and CM rings

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#commutative-algebra #homological-algebra
232
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Rotman's proof of $H_1(X,x_0) \cong H_1(X)$

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#abstract-algebra #algebraic-topology #category-theory #proof-explanation #homological-algebra
48
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Cyclic Galois extension in Weibel example6.3.8

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#abstract-algebra #homological-algebra
662
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Projective Resolution of $C[x,y,t]/(x^2+y^2-t)$

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#algebraic-geometry #homological-algebra #exact-sequence #projective-module #free-modules
307
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Proof of 10.4.6 in Weibel

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#homological-algebra #abelian-categories
89
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The images of the identity maps under the connecting homomorphisms

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#homological-algebra #functors

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