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- Perfect_complex abstract "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 has finite projective dimension.A compact object in the ∞-category of (say right) module spectra over a ring spectrum is often called perfect; see also module spectrum.".
- Perfect_complex wikiPageExternalLink perfect+module.
- Perfect_complex wikiPageExternalLink 0656.
- Perfect_complex wikiPageID "46630707".
- Perfect_complex wikiPageLength "982".
- Perfect_complex wikiPageOutDegree "7".
- Perfect_complex wikiPageRevisionID "681245797".
- Perfect_complex wikiPageWikiLink Category:Abstract_algebra.
- Perfect_complex wikiPageWikiLink Dualizable_object.
- Perfect_complex wikiPageWikiLink Hilbert–Burch_theorem.
- Perfect_complex wikiPageWikiLink Module_spectrum.
- Perfect_complex wikiPageWikiLink Projective_dimension.
- Perfect_complex wikiPageWikiLink Projective_module.
- Perfect_complex wikiPageWikiLink Ring_spectrum.
- Perfect_complex wikiPageWikiLinkText "Perfect complex".
- Perfect_complex wikiPageWikiLinkText "perfect complex".
- Perfect_complex hasPhotoCollection Perfect_complex.
- Perfect_complex wikiPageUsesTemplate Template:Algebra-stub.
- Perfect_complex wikiPageUsesTemplate Template:Reflist.
- Perfect_complex subject Category:Abstract_algebra.
- Perfect_complex comment "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.".
- Perfect_complex label "Perfect complex".
- Perfect_complex sameAs m.0138mxyg.
- Perfect_complex wasDerivedFrom Perfect_complex?oldid=681245797.
- Perfect_complex isPrimaryTopicOf Perfect_complex.