• 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...
    1 KB (103 words) - 17:16, 29 August 2024
  • near-ring modules, a nonabelian generalization of modules.[citation needed] Group ring Algebra (ring theory) Module (model theory) Module spectrum Annihilator...
    22 KB (3,091 words) - 12:09, 26 March 2025
  • 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...
    4 KB (484 words) - 09:21, 29 May 2025
  • Highly structured ring spectrum Homotopy type theory Pursuing Stacks Shape theory Moduli stack of formal group laws Crossed module Milnor's theorem on Kan...
    24 KB (3,813 words) - 15:16, 7 June 2025
  • In commutative algebra, the prime spectrum (or simply the spectrum) of a commutative ring R {\displaystyle R} is the set of all prime ideals of R {\displaystyle...
    25 KB (4,089 words) - 21:05, 8 March 2025
  • ∞-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...
    5 KB (562 words) - 12:17, 25 January 2025
  • Thumbnail for RF module
    modules: ASK OOK FSK Direct-sequence spread spectrum Frequency-hopping spread spectrum As with any other RF device, the performance of an RF module will...
    12 KB (1,603 words) - 21:46, 3 April 2025
  • corresponds to the identity.) For example, the spectrum of topological K-theory is a ring spectrum. A module spectrum may be defined analogously. For many more...
    22 KB (3,449 words) - 17:37, 16 May 2025
  • 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...
    23 KB (3,092 words) - 03:11, 16 June 2025
  • Thumbnail for ZX Spectrum
    the enhanced processing demands of the ZX Spectrum. Sinclair favoured solving this with expansion modules on the existing framework like with the ZX81...
    144 KB (13,864 words) - 10:00, 17 June 2025
  • are "fields" in the category of ring spectra. In other words every module spectrum over K(n) is free, i.e. a wedge of suspensions of K(n). They are complex...
    3 KB (406 words) - 18:26, 29 March 2024
  • Thumbnail for Solar panel
    Solar panel (redirect from Solar module)
    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...
    82 KB (9,313 words) - 02:04, 17 June 2025
  • algorithm classifies the individual with autism, autism spectrum disorder, or non-spectrum. The toddler module algorithm yields a "range of concern" rather than...
    22 KB (2,507 words) - 03:16, 25 May 2025
  • Thumbnail for Module file
    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....
    20 KB (2,213 words) - 14:34, 28 June 2024
  • the modules together with all the module homomorphisms between them form the category of modules. module spectrum A module spectrum is a spectrum with...
    20 KB (2,611 words) - 18:28, 4 March 2025
  • 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...
    28 KB (3,919 words) - 09:32, 15 February 2025
  • Fourier–Mukai transform Six operations Perverse sheaf D-module Beilinson–Bernstein localization Module spectrum Semiorthogonal decomposition Bridgeland stability...
    37 KB (5,798 words) - 01:22, 27 December 2024
  • "denominators" to a given ring or module. That is, it introduces a new ring/module out of an existing ring/module R, so that it consists of fractions...
    30 KB (5,381 words) - 12:29, 1 June 2025
  • Thumbnail for Apollo 12
    Conrad and Lunar Module Pilot Alan L. Bean completed just over one day and seven hours of lunar surface activity while Command Module Pilot Richard F....
    65 KB (7,833 words) - 14:50, 7 June 2025
  • the map from the isomorphism classes of indecomposable injective modules to the spectrum is a bijection. Moreover, a complete set of representatives for...
    6 KB (979 words) - 20:48, 5 March 2025
  • spectrum instead of a space. Grayson's binary complex also gives a construction of algebraic K-theory for exact categories. See also module spectrum#K-theory...
    10 KB (2,126 words) - 02:26, 22 September 2023
  • spectra), while in symmetric spectra the sphere spectrum is cofibrant (which is not true in S-modules). By a theorem of Lewis, it is not possible to construct...
    16 KB (2,290 words) - 17:15, 31 July 2024
  • Ziegler spectrum of a ring R is a topological space whose points are (isomorphism classes of) indecomposable pure-injective right R-modules. Its closed...
    3 KB (443 words) - 04:38, 19 September 2022
  • In mathematics, the spectrum of a C*-algebra or dual of a C*-algebra A, denoted Â, is the set of unitary equivalence classes of irreducible *-representations...
    12 KB (1,753 words) - 20:34, 24 January 2024
  • 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...
    19 KB (3,480 words) - 00:01, 5 June 2025
  • {\displaystyle \pi _{*}M} has the structure of a graded module over π ∗ A {\displaystyle \pi _{*}A} (cf. Module spectrum). By definition, the category of affine derived...
    3 KB (519 words) - 21:22, 3 April 2025
  • theory, a left primitive ideal is the annihilator of a (nonzero) simple left module. A right primitive ideal is defined similarly. Left and right primitive...
    3 KB (287 words) - 23:27, 30 January 2025
  • Thumbnail for Multi-chip module
    A multi-chip module (MCM) is generically an electronic assembly (such as a package with a number of conductor terminals or "pins") where multiple integrated...
    12 KB (1,340 words) - 20:29, 13 May 2025
  • Thumbnail for United States Army Special Forces selection and training
    and responsibilities. Module G – High Frequency Communications: The module instructs soldiers in the use of the HF radio spectrum to communicate, such...
    50 KB (5,963 words) - 15:00, 13 June 2025
  • Thumbnail for Spektr
    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...
    9 KB (713 words) - 22:04, 19 May 2025