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Topic: Reduced ring theory


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In the News (Thu 24 Dec 09)

  
 Theory
Dartmouth's CISM research is focused on the earth's magnetosphere and the related aspects of space weather.
The Dartmouth-Berkeley-Minnesota theory team has identified a number of mesoscale phenomena to be investigated as part of the GGS program.
A broad range of techniques are implemented including ideal and reduced MHD, two fluid, hybrid, particle-in-cell and test particle simulations.
www.dartmouth.edu /~spacephy/theory.html   (1466 words)

  
  Springer Online Reference Works
The modern theory of convex surfaces was developed chiefly by Soviet geometers, A.D. Aleksandrov and his school.
One of the principal results in the theory of convex surfaces is the theorem on the realizability of an internal convex metric on some convex surface.
Many results of the theory of convex surfaces in spaces of constant curvature are formulated and demonstrated as in the case of Euclidean spaces.
eom.springer.de /c/c026390.htm   (2110 words)

  
  Ring   (Site not responding. Last check: 2007-11-04)
Ring armature A ring armature is an armature for a conductorss wound on a ring.
Ring galaxy A Ring galaxy is a galaxy with a ring-like appearance.
Ring of Gyges The Ring of Gyges is a The Republic.
www.brainyencyclopedia.com /topics/ring.html   (2447 words)

  
 Reduced (ring theory)   (Site not responding. Last check: 2007-11-04)
In ring theory, a ring R is said to be reduced if it has no non- zero nilpotent elements.
reduced georgia felony reduced reduced airline tickets theory management theory pythagorus theory quantum theory piaget theory development theory literary theory organizational theory evolutionary theory policy theory
Free Acne Book Presenting a theory on how acne can be reduced through modification of diet.
www.serebella.com /encyclopedia/article-Reduced_(ring_theory).html   (305 words)

  
 First-order Model Theory (Stanford Encyclopedia of Philosophy)
First-order model theory, also known as classical model theory, is a branch of mathematics that deals with the relationships between descriptions in first-order languages and the structures that satisfy these descriptions.
From another point of view, first-order model theory is the paradigm for the rest of model theory; it is the area in which many of the broader ideas of model theory were first worked out.
These theories have the remarkable property that every infinite indiscernible sequence in any of their models is indiscernible under any linear ordering whatever; so these sequences are a kind of generalisation of bases of vector spaces.
plato.stanford.edu /entries/modeltheory-fo   (6181 words)

  
 Reduced K-theory of Azumaya Algebras, by Roozbeh Hazrat   (Site not responding. Last check: 2007-11-04)
Reduced K-theory of Azumaya Algebras, by Roozbeh Hazrat
In the theory of central simple algebras, often we are dealing with abelian groups which arise from the kernel or co-kernel of functors which respect transfer maps (for example K-functors).
The main result is to prove that reduced K-theory of an Azumaya algebra over a Henselian local ring coincides with reduced K-theory of its residue central simple algebra.
www.math.uiuc.edu /K-theory/0640   (210 words)

  
 Raid Suleiman
The theory of relativity, by contrast, is a theory of the macrocosmic world, the world of galaxies, super clusters, fl holes, and Creation itself.
The quantum theory explains three of the four forces (the weak, strong, and electro-magnetic forces) by postulating the exchange of tiny packets of energy, called "quanta." When a flashlight is turned on, for example, it emits trillions upon trillion of photons, or the quanta of light.
The quantum theory reduces "forces" to the exchange of discrete packet of energy or quanta, while Einstein's theory of gravity, by contrast, explains the cosmic forces holding the galaxies together by postulating the smooth deformation of the fabric of space-time.
cfa-www.harvard.edu /~sraid/string.html   (4618 words)

  
 Piston And Ring Technology- Car Craft Magazine
Ring groove smoothness is likewise extremely important; any waviness or roughness causes poor ring seal and can lead to microwelding—a destructive situation where, under extreme pressure, the rings momentarily attach themselves to high spots on the ring groove.
Traditionally, these gapless rings went in the second groove along with a conventional top ring, but ring technology refinements plus the new thinking on ring sealing has led Total Seal to revise this installation scheme and introduce a new line of gapless top rings that achieve significantly less blow-by under real-world running conditions.
And reducing friction by running low-tension oil rings may mandate trick oil pans with windage trays, crank scrappers, adjustment of bottom-end bearing clearances, lightweight synthetic oils, and even positive crankcase evacuation pumps.
www.carcraft.com /techarticles/piston_ring_technology   (2346 words)

  
 Springer Online Reference Works
The effect of the ideas of algebraic geometry was immediately reflected in the ultimate formulation of the concept of an analytic space (for reduced complex spaces see [9]; for the general case, see).
for reduced complex spaces was studied in [9], in which the theory of analytic spaces was named  "analytic geometryanalytic geometry" .
Stein in 1951 defined a class of ringed spaces which, as was shown in [5], coincides with the class of reduced normal analytic spaces (cf.
eom.springer.de /a/a012430.htm   (1914 words)

  
 PlanetMath:
Reduced wave equation (=Helmholtz equation) owned by Mathprof
proof of the ring of integers of a number field is finitely generated over
example of a ring of integers which is not a UFD (=example of ring which is not a UFD) owned by alozano
planetmath.org /encyclopedia/R   (2794 words)

  
 USA Tolerance Rings
Although the Tolerance ring allowed for the additional cost saving, the major advantage of the Tolerance Ring in this application was still the altering of the vibration frequency with consistent and improved performance over the life of the vehicle.
Tolerance Rings have been proven to be effective in various NVH applications ranging from simple fixing of a throttle body motor in an aluminum housing, to one like the above example where the frequency can be altered to improve component life and reduce noise.
The holding ability of the ring is the resultant radial force of all the waves and the coefficient of frication of the mating components.
www.usatolerancerings.com /nvh_full.html   (1200 words)

  
 Research in Algebra | Ring Theory
Later, it was realised that commutative noetherian rings are one of the building blocks of modern algebraic geometry, leading to their study both abstractly and in examples.
Typically, the representation theory of such algebras is closely related to the geometry of the prime spectrum of centre of the algebra.
I.Gordon, On the quotient ring by diagonal invariants, Inventiones Mathematicae 153 (2003), 503-518.
www.maths.gla.ac.uk /research/groups/algebra/rings.htm   (988 words)

  
 HubbleSite - Astrofiles about "Hubble Views Saturn Ring-Plane Crossing"   (Site not responding. Last check: 2007-11-04)
Lassell christened the new third ring (C ring) as the "Crepe Ring." The discovery of the C ring did not seem consistent with the theory that Saturn's rings were solid.
Saturn ring plane crossings are worthy of scientifice study because when the rings are nearly edge-on to Earth, the glare from the rings is reduced considerably, and faint objects near Saturn, such as moons, are easier to see.
Because the ring particles are water-rich like the nuclei of comets, the gas surrounding Saturn's rings may have a composition similar to the coma of an active comet.
hubblesite.org /newscenter/newsdesk/archive/releases/1995/25/astrofile   (5643 words)

  
 Roman 10cpi
This theory reduces the force of gravity to a curvature of space and time around a particle of matter.
This intersection is the space described by Einstein's General Theory of Relativity for the case of light being drawn in by the gravity.
The first theory is Newton's "For every action there is an equal and opposite reaction." This is usually shown in textbooks as a vector diagram of forces either canceling themselves or causing an acceleration of a mass.
www.wbabin.net /dave/theory2.htm   (5130 words)

  
 Grand Unified Theory: Wave Theory and the Universe
Two other known forces are electromagnetic forces appearing from the principal energetic force (in wave theory, electromagnetic matter), and gravity, (in wave theory) a combination of forces both internal (from within the object) and external (resulting from contact with neighbouring waves).
In 1916, Einstein, in his theory of general relativity, suggested that the universe must be either expanding or contracting — it couldn’t just sit there.
Besides these rings of dark matter that are located in the arms, the galaxy’s rigid formation is maintained by dark matter both within and in the immediate vicinity.
www.grandunifiedtheory.org.il /book/universeP.htm   (3266 words)

  
 Game Theory - The Myth of Reality   (Site not responding. Last check: 2007-11-04)
Game theory in its textbook form is quite complex, and the definitions and examples of all of its applications are outside the scope of this article.
There are several factors in game theory, and it is important to understand each of these factors when creating a game system, or even when evaluating or choosing one.
Before looking into the specific factors of game theory, it is important to discuss two aspects of games that are not factors in game theory, strictly speaking, but do have an important impact on the overall game.
home.mchsi.com /~yankeeap/THEORY.HTM   (2997 words)

  
 Springer Online Reference Works
In principle, this equation solves the third problem in algebraic number theory, but it is a local equation in the sense that it is necessary to check it for each prime ideal separately.
The next important stage of development of class group theory is related to the name of E.
For a discussion of the relations between the ideal-theoretic formulations and the modern idèle based class field theory [a2] is recommended.
eom.springer.de /A/a011600.htm   (2735 words)

  
 12: Field theory and polynomials
The study of multiple fields through Galois theory is important for the study of polynomial equations, and thus has applications to number theory and group theory.
Fields of functions of algebraic varieties (essentially the quotient fields of rings F[x1,...,xn]/(P) where P is a multivariable polynomial) are more properly treated in 14: Algebraic Geometry, although these are really just discussions of fields of finite transcendence degree over the ground field.
Likewise fields of meromorphic functions and local rings of germs of functions are usually treated with their applications to 30: Complex Analysis, 32: Several complex variables, and 58: Analysis on manifolds.
www.math.niu.edu /~rusin/known-math/index/12-XX.html   (1782 words)

  
 Evolution: Glossary
Mendelian inheritance is an atomistic theory because in it, inheritance is controlled by distinct genes.
Although now accepted as a plausible theory, both she and her theory were ridiculed by mainstream biologists for a number of years.
The double set of genes and chromosomes of the normal diploid cells is reduced during meiosis to a single haploid set in the gametes.
www.pbs.org /wgbh/evolution/library/glossary   (13323 words)

  
 Homomorphisms   (Site not responding. Last check: 2007-11-04)
A ring monomorphism is 1-1, with a kernel of 0.
A ring isomorphism is 1-1 and onto, essentially a relabeling of the ring elements.
A ring homomorphism respects + and *, hence the image of the product of two ideals, or finitely many ideals, is the product of their images.
www.mathreference.com /ring,homo.html   (577 words)

  
 ESD Journal - The ESD & Electrostatics Magazine
The ring is worn as any other piece of jewelry, and works by conducting the static charge to the ring body, be it platinum, gold or silver.
A passive circuit (no batteries) inside the ring passes and holds the charge to the face of the ring, which is insulated from the body by a gemstone or ebonite.
Excessive charges built up in the ring throughout the day may be dissipated occasionally by touching the ring face to any metal surface.
www.esdjournal.com /articles/sasha/ring2.htm   (525 words)

  
 BiologyMad A-Level Biology
These cells are alive, but they lose their nuclei and other organelles, and their cytoplasm is reduced to strands around the edge of the cells.
At the same time, ions are being pumped into the xylem from the soil by active transport, reducing the water potential in the xylem.
After a week there is a swelling above the ring, reduced growth below the ring and the leaves are unaffected.
www.biologymad.com /PlantTransport/PlantTransport.htm   (2342 words)

  
 Lubrication Theory and Practice   (Site not responding. Last check: 2007-11-04)
Oil consumption is related mainly to the lubricant that travels past piston rings and valves, and burns in the combustion chamber.
The major cause of ring sticking is the formation of deposits in the piston grooves, resulting in the loss of an oil seal.
To reduce particulate emissions, new engines are designed to operate with a thinner lubricant film and to allow less lubricant leakage past the piston rings.
www.lubrizol.com /lubetheory/adduse.asp   (2912 words)

  
 Reduced (ring theory)   (Site not responding. Last check: 2007-11-04)
Fans, quasi-fans and their reduced Witt rings of higher level.
Ring theory of higher level reduced Witt rings (Algebra Berichte)
The wallpapers on this activity studio are really nice, and the images are different from the ones available to download from the official website, but everything else is very similar (the format of the calendars is pretty much the same as the format of t...
www.freeglossary.com /Reduced_ring   (221 words)

  
 Videotape Systems Theory
Any discussion of videotape theory would be incomplete without a brief description of the events that led to the development of the videotape recorder.
Because of the expense of slip rings and miniature high-G relays (The centrifugal force on the inside of a 1" type C video head is 1,000 g's!) for record/play switching, this is rarely seen in consumer machines.
Reduced resolution in the picture due to the separation and recombination process.
www.lionlamb.us /quad/theory.html   (16811 words)

  
 University of Oregon: Department of Mathematics
A formal group law of dimension n over a (commutative) ring R is a power series in 2n variables satisfying associativity and identity axioms with respect to composition.
Commutative Ring Theory by Hideyuki Matsumura [M], Translated by Miles Reid, Cambridge Studies in Advanced Mathematics (No. 8) Cambridge University Press, 1989.
The theory of wavelets is a very active area of research with many real-world applications to signal processing, e.g.
darkwing.uoregon.edu /~math/graduate/advanced07.php   (2114 words)

  
 Guide to the Mathematics Subject Classification Scheme
Algebra is principally concerned with symmetry, patterns, discrete sets, and the rules for manipulating arithmetic operations; one might think of this as the outgrowth of arithmetic and algebra classes in primary and secondary school.
Here the general theory is much weaker, but special cases of such rings are of key importance: Lie algebras in particular, as well as Jordan algebras and other types.
While the general theory and certain types of categories have attracted considerable interest, the area of homological algebra has proved most fruitful in areas of ring theory, group theory, and algebraic topology.
www.math.niu.edu /~rusin/known-math/index/beginners.html   (5525 words)

  
 Oxford University Press
The book is well-suited as a text for graduate courses in representation theory, and for many years has filled a gap in the literature in the area of orders and maximal orders.
The theory of maximal orders is then developed in the local case, first in a complete setting, and then over any discrete valuation ring.
Assuming a couple of facts from class field theory, the book goes on to present the theory of simple algebras over global fields, covering in particular Eichler's Theorem on the ideal classes in a maximal order, as well as various results on the KO group and Picard group of orders.
www.oup.com /ca/isbn/0-19-852673-3   (615 words)

  
 Structure of sub-atomic particles (magnetic ring theory)
The theory tells us that there is no electric charge as we understand it now.
rings has rest energy, which is proportional to the square of field intensity
ring in any particular direction is compensated by that of the other ring in that same direction
www.geocities.com /magneticringtheory   (2300 words)

  
 18.5 Add a ring structure
To define a ring structure on A, you must provide an addition, a multiplication, an opposite function and two unities 0 and 1.
If you declare a Ring inside a section, the declaration will be thrown away when closing the section.
Another ring structure is defined on the booleans.
pauillac.inria.fr /cdrom_a_graver/www/coq/doc/node.3.7.4.html   (627 words)

  
 Graviola research : by Ray Sahelian, M.D., health benefits, cancer
These data are compatible with the theory that annonaceous acetogenins, such as annonacin, might be implicated in the aetiology of Guadeloupean parkinsonism and support the hypothesis that some forms of parkinsonism might be induced by environmental toxins.
Compounds 1-3 are the first acetogenins reported bearing a mono-tetrahydrofuran (THF) ring with one flanking hydroxyl, on the hydrocarbon side, and another hydroxyl, on the lactone side, that is one carbon away from the THF ring.
Compounds 4 and 5 from graviola were obtained in a mixture and are new mono-THF ring acetogenins bearing two flanking hydroxyls and an erythro-diol located between the THF and the ketolactone rings.
raysahelian.com /graviola.html   (2986 words)

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