Perfect complex

id: perfect-complex-246-10743845
title: Perfect complex
text: 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 perfect if and only if it is finitely generated and of finite projective dimension.
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Perfect_complex
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date modified: 2023-12-31T23:27:49Z
main entity: {"identifier":"Q25098898","url":"https://www.wikidata.org/entity/Q25098898"}
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fields total: 13
integrity: 13

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