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.
perfectcomplex 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...
Perfect Dark is a 2000 first-person shooter developed and published by Rare for the Nintendo 64. The first game of the Perfect Dark series, it follows...
Perfect Blue (Japanese: パーフェクトブルー, Hepburn: Pāfekuto Burū) is a 1997 Japanese anime psychological thriller film directed by Satoshi Kon. It is loosely...
choice of V, and for a smoothable complete intersection morphism, this complex is perfect. Furthermore, if g : Y → Z is another smoothable complete intersection...
In number theory, a perfect number is a positive integer that is equal to the sum of its positive proper divisors, that is, divisors excluding the number...
the tendency to assume there is a perfect solution to a particular problem. A closely related concept is the "perfect solution fallacy". By creating a...
Funko and NECA. The Mary Sue's Jessica Mason described Demona as the "perfectcomplex villain," writing "Oftentimes, villains are one-note and not nuanced...
In optics, a perfect mirror is a mirror that reflects light (and electromagnetic radiation in general) perfectly, and does not transmit or absorb it....
equilibrium theory, a perfect market, also known as an atomistic market, is defined by several idealizing conditions, collectively called perfect competition,...
Perfect Dark Zero is a first-person shooter developed by Rare and published by Microsoft Game Studios. It was released as a launch title for the Xbox...
WordPerfect (WP) is a word processing application, now owned by Alludo, with a long history on multiple personal computer platforms. At the height of...
a scheme, is a perfectcomplex. In the case of a smooth projective variety X over a field, the category Perf(X) of perfectcomplexes can also be viewed...
and a brother. 2019 Happy Girl Lucky 2020 Far From Perfect 2021 Love Me Not The Cassandra Complex, an adult novel with an autistic woman as protagonist...
Pitch Perfect 2 is a 2015 American musical comedy film directed and produced by Elizabeth Banks (in her feature directorial debut, not counting her part...
be a perfect mirror of male sexuality. Castration anxiety Family romance Feminism and the Oedipus complex Jocasta complex Madonna–whore complex Polymorphous...
In algebra, a field k is perfect if any one of the following equivalent conditions holds: Every irreducible polynomial over k has no multiple roots in...
encompassing four staff positions in the music notation of Western culture, and a perfect fourth (Play) is the fourth spanning five semitones (half steps, or half...
D^{b}(X)} , called its derived category, or the derived category of perfectcomplexes on an algebraic variety, denoted D perf ( X ) {\displaystyle D_{\operatorname...
Pitch Perfect 3 is a 2017 American musical comedy film directed by Trish Sie and written by Kay Cannon and Mike White. It is set after the events of Pitch...
between an idealised, perfect state and the actual reality of one's feelings and emotions. Marjorie Garber saw the Medusa Complex pervading Macbeth in...
the first player will win, lose or draw from the initial position, given perfect play on both sides. This can be a non-constructive proof (possibly involving...
special linear group over the real and complex numbers is perfect, but the general linear group GL is never perfect (except when trivial or over F 2 {\displaystyle...