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...

homology with coefficients in a ring, complex cobordism, K-theory, and Morava K-theory. Highly structured ring spectrum Adams, J. Frank (1974), Stable...

a morphism of commutative ring spectra MString →tmf. See also: simplicial commutative ring, highly structured ring spectrum and derived scheme. Almost...

theory on them, which is called the simplicial homotopy theory. Highly structured ring spectrum Homotopy type theory Pursuing Stacks Shape theory Moduli stack...

complexes of Λ {\displaystyle \Lambda } -modules. Categorical ring Highly structured ring spectrum http://www.math.harvard.edu/~lurie/282ynotes/LectureXXII-En...

mathematics, a commutative ring is a ring in which the multiplication operation is commutative. The study of commutative rings is called commutative algebra...

better-known model for highly structured ring spectra due to Elmendorf, Kriz, Mandell and May.[clarification needed] Highly structured ring spectrum An action of...

to later rings choosing their wearers. The Phantom Ring is capable of channeling the entirety of the emotional spectrum, but unlike Kyle's ring after he...

(beta-lactam antibiotics) are antibiotics that contain a β-lactam ring in their chemical structure. This includes penicillin derivatives (penams), cephalosporins...

to the β-lactam ring. A variety of β-lactam antibiotics have been produced following chemical modification from the 6-APA structure during synthesis...

the ring of p-adic integers. They have a highly non-intuitive structure upon first glance because their additive and multiplicative structure depends...

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...

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...

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...

Metallocenes usually adopt structures in which a metal ion is sandwiched between two parallel cyclopentadienyl (Cp) rings. In the solid-state, the molecule...

cell wall synthesis. However, these agents individually exhibit a broader spectrum of activity compared to most cephalosporins and penicillins. Furthermore...

ppm. Some of the most useful information for structure determination in a one-dimensional NMR spectrum comes from J-coupling, or scalar coupling (a special...

which 18 π-electrons form a planar, continuous cycle, the porphyrin ring structure is often described as aromatic. One result of the large conjugated system...

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...

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...

In algebraic geometry, Proj is a construction analogous to the spectrum-of-a-ring construction of affine schemes, which produces objects with the typical...

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...

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...

and adding O requires removing CH4. Isotope peaks within a spectrum can help in structure elucidation. Compounds containing halogens (especially chlorine...

collections—such as a Flemish carillon, a Russian zvon, or an English "ring of bells" used for change ringing—have their own practices and challenges; and campanology...

antibiotics constitute a large group of broad-spectrum bacteriocidals that share a bicyclic core structure related to the substance 4-quinolone. They are...

proteins highly conserved among eukaryotes. Prokaryotes have similar proteins called paraseptins. They form compartmentalizing ring-like structures strongly...

known as diborane, is the chemical compound with the formula B2H6. It is a highly toxic, colorless, and pyrophoric gas with a repulsively sweet odor. Given...

The second synthesis forms highly twisted 3D-structures of PDI molecules and the third approach forms a fused-ring structure. For all three possible ways...

their common meaning. For example, a mathematical ring is not related to any other meaning of "ring". Real numbers and imaginary numbers are two sorts...