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Perfect complex

In algebra, a perfect complex of modules over a commutative ring A is an object in the derived category of A-modules that is quasi-isomorphic to a bounded complex of finite projective A-modules. A perfect module is a module that is perfect when it is viewed as a complex concentrated at degree zero. For example, if A is Noetherian, a module over A is…

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Other characterizations

Pseudo-coherent sheaf

Bibliography

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Map overview Semantic statistics

Perfect complex

Nodes34
Edges33
Triples8
Avg. degree1.94
Density0.058824
Components1

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Perfect complex

Top relations

related to External links · 5
Perfect complex → An, Determinantal, MathOverflow, Perfect, The Stacks
related to Other characterizations · 3
Perfect complex → A-modules, Perfect, They

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Important terminology

perfect complex module pseudo-coherent finite projective complexes ring derived category degree doi sheaf also modules displaystyle sga algebraic 10 lecture

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Perfect complexrelated to External linksDeterminantal0.60section
Perfect complexrelated to External linksMathOverflow0.60section
Perfect complexrelated to External linksAn0.60section
Perfect complexrelated to External linksPerfect0.60section
Perfect complexrelated to External linksThe Stacks0.60section
Perfect complexrelated to Other characterizationsPerfect0.60section
Perfect complexrelated to Other characterizationsA-modules0.60section
Perfect complexrelated to Other characterizationsThey0.60section

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    Min side: 3
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