chain complex
(Q1143328)
in homological algebra, a structure consisting of a sequence of modules and a sequence of homomorphisms between consecutive modules such that the image of each homomorphism is included in the kernel of the next
in homological algebra, a structure consisting of a sequence of modules and a sequence of homomorphisms between consecutive modules such that the image of each homomorphism is included in the kernel of the next
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Current Data About
chain complex
(P18) |
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(P61) |
(Q2014345)
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(P279) |
(Q133250)
(Q843237) |
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(P373) |
Complexes (algebra)
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(P1322) |
(Q78271410)
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(P1535) |
(Q1144780)
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(P2534) |
\begin{aligned}&\dotsb\xleftarrow{\partial_0}A_0\xleftarrow{\partial_1}A_1\xleftarrow{\partial_2}A_2\xleftarrow{\partial_3}\dotsb\\&\partial_i\circ\partial_{i+1}=0\end{aligned}
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(P2579) |
(Q579978)
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(P2670) |
(Q4504468)
(Q78322378) |
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(P6104) |
(Q8487137)
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(P7235) |
\partial_i
i
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other details
description | in homological algebra, a structure consisting of a sequence of modules and a sequence of homomorphisms between consecutive modules such that the image of each homomorphism is included in the kernel of the next |
External Links
(P646) |
/m/010wr5
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(P2812) |
ChainComplex
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(P4215) |
chain complex
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(P6366) |
194403031
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(P6781) |
Definition:Chain_Complex
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(P8885) |
사슬 복합체
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