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Module spectrum information


In algebra, a module spectrum is a spectrum with an action of a ring spectrum; it generalizes a module in abstract algebra.

The ∞-category of (say right) module spectra is stable; hence, it can be considered as either analog or generalization of the derived category of modules over a ring.

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Module spectrum

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a module spectrum is a spectrum with an action of a ring spectrum; it generalizes a module in abstract algebra. The ∞-category of (say right) module spectra...

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Category of modules

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left modules over R is the category whose objects are all left modules over R and whose morphisms are all module homomorphisms between left R-modules. For...

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RF module

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in RF transmitter and receiver modules: ASK OOK FSK direct-sequence spread spectrum frequency-hopping spread spectrum. The detailed description, advantages...

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Spectrum of a ring

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In commutative algebra, the prime spectrum (or simply the spectrum) of a commutative ring R is the set of all prime ideals of R, and is usually denoted...

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ZX Spectrum

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the enhanced processing demands of the ZX Spectrum. Sinclair favoured solving this with expansion modules on the existing framework like with the ZX81...

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Perfect complex

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∞-category of (say right) module spectra over a ring spectrum is often called perfect; see also module spectrum. When the structure sheaf O X {\displaystyle {\mathcal...

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Autism Diagnostic Observation Schedule

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classifies the individual with autism, autism spectrum disorder, or non-spectrum disorder. The toddler module algorithm yields a "range of concern" rather...

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Solar panel

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ranges. Module performance is generally rated under standard test conditions (STC): irradiance of 1,000 W/m2, solar spectrum of AM 1.5 and module temperature...

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Module file

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Module file (MOD music, tracker music) is a family of music file formats originating from the MOD file format on Amiga systems used in the late 1980s....

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Glossary of module theory

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the modules together with all the module homomorphisms between them form the category of modules. module spectrum A module spectrum is a spectrum with...

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Projective module

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projective modules enlarges the class of free modules (that is, modules with basis vectors) over a ring, keeping some of the main properties of free modules. Various...

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Injective module

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abstract algebra known as module theory, an injective module is a module Q that shares certain desirable properties with the Z-module Q of all rational numbers...

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Photovoltaics

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39.5%. Module performance is generally rated under standard test conditions (STC): irradiance of 1,000 W/m2, solar spectrum of AM 1.5 and module temperature...

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ZX Spectrum Next

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ZX Spectrum Next is an 8-bit home computer, initially released in 2017, which is compatible with software and hardware for the 1982 ZX Spectrum. It also...

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Associated prime

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the map from the isomorphism classes of indecomposable injective modules to the spectrum is a bijection. Moreover, a complete set of representatives for...

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Music tracker

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master list of repeated patterns. Later trackers departed from solely using module files, adding other options both to the sound synthesis (hosting generic...

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Support of a module

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In commutative algebra, the support of a module M over a commutative ring R is the set of all prime ideals p {\displaystyle {\mathfrak {p}}} of R such...

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Triangulated category

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Fourier–Mukai transform Six operations Perverse sheaf D-module Beilinson–Bernstein localization Module spectrum Semiorthogonal decomposition Bridgeland stability...

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United States Army Special Forces selection and training

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and responsibilities. Module G – High Frequency Communications: The module instructs soldiers in the use of the HF radio spectrum to communicate, such...

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Spektr

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Spektr (Russian: Спектр; English: Spectrum) (TKM-O, 77KSO, 11F77O) was the fifth module of the Mir Space Station. The module was designed for remote observation...

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Apollo 12

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Conrad and Lunar Module Pilot Alan L. Bean performed just over one day and seven hours of lunar surface activity while Command Module Pilot Richard F....

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Sheaf of modules

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sheaf of O-modules is the same as a sheaf of abelian groups (i.e., an abelian sheaf). If X is the prime spectrum of a ring R, then any R-module defines an...

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Commutative ring

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Dualizing module, Popescu's theorem, Artin approximation theorem. This notion can be related to the spectrum of a linear operator; see Spectrum of a C*-algebra...

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Superluminescent diode

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from the peak wavelength since it is related to the spectrum asymmetry. Typical values for SLED modules are for the BW between 5 nm and 100 nm with central...

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