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coherent ring

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  • Coherent ring — In mathematics, a (left) coherent ring is a ring in which every finitely generated left ideal is finitely presented. Many theorems about finitely generated modules over Noetherian rings can be extended to finitely presented modules over coherent… …   Wikipedia

  • Coherent anti-Stokes Raman spectroscopy — Coherent anti Stokes Raman spectroscopy, also called Coherent anti Stokes Raman scattering spectroscopy (CARS), is a form of spectroscopy used primarily in chemistry, physics and related fields. It is sensitive to the same vibrational signatures… …   Wikipedia

  • Coherent sheaf — In mathematics, especially in algebraic geometry and the theory of complex manifolds, coherent sheaves are a specific class of sheaves having particularly manageable properties closely linked to the geometrical properties of the underlying space …   Wikipedia

  • Coherent duality — In mathematics, coherent duality is any of a number of generalisations of Serre duality, applying to coherent sheaves, in algebraic geometry and complex manifold theory, as well as some aspects of commutative algebra that are part of the local… …   Wikipedia

  • Der Ring des Nibelungen — (The Ring of the Nibelung) is a cycle of four epic operas (or dramas to use the composer s preferred term) by the German composer Richard Wagner (1813–83). The works are based loosely on characters from the Norse sagas and the Nibelungenlied. The …   Wikipedia

  • Cohen–Macaulay ring — In mathematics, a Cohen–Macaulay ring is a particular type of commutative ring, possessing some of the algebraic geometric properties of a nonsingular variety, such as local equidimensionality. They are named for Francis Sowerby Macaulay, who… …   Wikipedia

  • Noetherian ring — In mathematics, more specifically in the area of modern algebra known as ring theory, a Noetherian ring, named after Emmy Noether, is a ring in which every non empty set of ideals has a maximal element. Equivalently, a ring is Noetherian if it… …   Wikipedia

  • Toroidal ring model — The toroidal ring model, known originally as the Parson magneton or magnetic electron, is also known as the plasmoid ring, vortex ring, or helicon ring. This physical model treated electrons and protons as elementary particles, and was first… …   Wikipedia

  • Storage ring — The 216 m circumference storage ring dominates this image of the interior of the Australian Synchrotron facility. In the middle of the storage ring is the booster ring and linac A storage ring is a type of circular particle accelerator in… …   Wikipedia

  • Spectrum of a ring — In abstract algebra and algebraic geometry, the spectrum of a commutative ring R , denoted by Spec( R ), is defined to be the set of all proper prime ideals of R . It is commonly augmented with the Zariski topology and with a structure sheaf,… …   Wikipedia

  • Morris Ring —    An association of *morris dance clubs, founded in 1934 by six of the clubs then in existence. The *English Folk Dance Society (EFDS), founded by Cecil *Sharp in 1911, had been concerned with the teaching of morris dancing since its inception,… …   A Dictionary of English folklore

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