• In mathematics, a highly structured ring spectrum or A ∞ {\displaystyle A_{\infty }} -ring is an object in homotopy theory encoding a refinement of a multiplicative...
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  • homology with coefficients in a ring, complex cobordism, K-theory, and Morava K-theory. Highly structured ring spectrum Adams, J. Frank (1974), Stable...
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  • theory on them, which is called the simplicial homotopy theory. Highly structured ring spectrum Homotopy type theory Pursuing Stacks Shape theory Moduli stack...
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  • complexes of Λ {\displaystyle \Lambda } -modules. Categorical ring Highly structured ring spectrum http://www.math.harvard.edu/~lurie/282ynotes/LectureXXII-En...
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  • better-known model for highly structured ring spectra due to Elmendorf, Kriz, Mandell and May.[clarification needed] Highly structured ring spectrum An action of...
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  • a morphism of commutative ring spectra MString →tmf. See also: simplicial commutative ring, highly structured ring spectrum and derived scheme. Almost...
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  • In algebraic geometry, Proj is a construction analogous to the spectrum-of-a-ring construction of affine schemes, which produces objects with the typical...
    19 KB (3,582 words) - 05:35, 6 March 2025
  • mathematics, a commutative ring is a ring in which the multiplication operation is commutative. The study of commutative rings is called commutative algebra...
    41 KB (5,688 words) - 04:58, 30 June 2025
  • Thumbnail for Ring galaxy
    that form ring galaxies appear to cause significant effects on stellar populations. Based on observations of the spectrum of the ring structures, there appears...
    12 KB (1,511 words) - 16:59, 30 May 2025
  • Thumbnail for 2060 Chiron
    water ice is in Chiron's rings, explain the changing intensity of the infrared water-ice absorption bands in Chiron's spectrum, including their disappearance...
    42 KB (3,423 words) - 04:12, 30 June 2025
  • Thumbnail for Β-Lactam antibiotic
    (beta-lactam antibiotics) are antibiotics that contain a β-lactam ring in their chemical structure. This includes penicillin derivatives (penams), cephalosporins...
    34 KB (3,708 words) - 22:37, 29 May 2025
  • Thumbnail for Porphyrin
    Porphyrin (redirect from Porphyrin ring)
    are called porphyrins. With a total of 26 π-electrons the porphyrin ring structure is a coordinated aromatic system. One result of the large conjugated...
    25 KB (2,294 words) - 16:21, 6 June 2025
  • Thumbnail for Pyridine
    Pyridine (redirect from Pyridine ring)
    is highly acidic. This species undergoes a Michael-like addition to α,β-unsaturated carbonyls in the presence of ammonium acetate to undergo ring closure...
    77 KB (7,716 words) - 00:22, 26 June 2025
  • Thumbnail for Chromophore
    chlorin-type ring in the case of chlorophyll. The highly conjugated pi-bonding system of the macrocycle ring absorbs visible light. The nature of the central...
    11 KB (1,111 words) - 06:07, 5 May 2025
  • Thumbnail for Cyclopropanone
    HO-H, RO-H) The C3O atoms are coplanar. As deduced from the microwave spectrum, the H2C-CH2 bond length of 157.5 pm is unusually long. By contrast, the...
    7 KB (593 words) - 23:16, 25 June 2025
  • Thumbnail for Phytochrome
    fungi. They respond to light in the red and far-red regions of the visible spectrum and can be classed as either Type I, which are activated by far-red light...
    22 KB (2,851 words) - 22:09, 28 June 2025
  • Thumbnail for Helium–neon laser
    frequency 473.6122 THz, in the red part of the visible spectrum. Because of the mode structure of the laser cavity, the instantaneous output of a laser...
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  • Thumbnail for Cosmic microwave background
    This glow is strongest in the microwave region of the electromagnetic spectrum. The accidental discovery of the CMB in 1965 by American radio astronomers...
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  • of subatomic particles. It is also known as the plasmoid ring, vortex ring, or helicon ring. This physical model treated electrons and protons as elementary...
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  • Thumbnail for Haumea
    Haumea (redirect from Haumean ring system)
    2017, astronomers announced the discovery of a ring system around Haumea, representing the first ring system discovered for a trans-Neptunian object and...
    83 KB (7,764 words) - 00:16, 12 June 2025
  • Thumbnail for Nickelocene
    Metallocenes usually adopt structures in which a metal ion is sandwiched between two parallel cyclopentadienyl (Cp) rings. In the solid-state, the molecule...
    8 KB (650 words) - 03:53, 12 December 2024
  • Thumbnail for Little Dumbbell Nebula
    spectrum indicated it was a nebula (instead of a galaxy or a star cluster); and Isaac Roberts in 1891 suggested that M76 might be similar to the Ring...
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  • Thumbnail for Carbapenem
    cell wall synthesis. However, these agents individually exhibit a broader spectrum of activity compared to most cephalosporins and penicillins. Furthermore...
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  • at 0°C: Uranocene is highly reactive toward oxygen, being pyrophoric in air but stable to hydrolysis. The x-ray crystal structure of uranocene was first...
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  • Thumbnail for Group scheme
    for each S-scheme T. If S is affine, D(A) can be formed as the spectrum of a group ring. More generally, one can form groups of multiplicative type by...
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  • Thumbnail for JZ-IV-10
    2005). "Further structure-activity relationship studies of piperidine-based monoamine transporter inhibitors: effects of piperidine ring stereochemistry...
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  • Thumbnail for Imidazole
    Imidazole (redirect from Imidazole ring)
    5-membered ring, that exists in two equivalent tautomeric forms because hydrogen can be bound to one or another nitrogen atom. Imidazole is a highly polar...
    25 KB (2,551 words) - 18:15, 6 June 2025
  • Thumbnail for Harmonic series (music)
    pianos.) However, those alterations are small, and except for precise, highly specialized tuning, it is reasonable to think of the frequencies of the...
    25 KB (2,647 words) - 12:44, 14 January 2025
  • Thumbnail for Michael J. Hopkins
    homotopy commutative diagram of ring spectra up to homotopy to a strictly commutative diagram of highly structured ring spectra. The first success of this...
    10 KB (1,012 words) - 19:08, 7 June 2025
  • Thumbnail for Indolylpropylaminopentane
    corresponding analogue of PPAP and BPAP with an indole ring instead of a benzene ring or benzofuran ring, respectively. IPAP is also a positional isomer of...
    13 KB (1,316 words) - 13:37, 11 April 2025