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Topic: Glossary of ring theory

Related Topics

Ring monomorphism

Noetherian ring

Dedekind domain

Radical of an ideal

Integral domain

Idempotent

Nilpotent

Unique factorization domain

List of abstract algebra topics

Ring theory

Division ring

Commutative ring

Simple ring

Local ring

Ring (mathematics)

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	Ring theory
		In mathematics, Ring theory is that branch of mathematics concerned with the study of rings, algebraic structures in which addition and multiplication are defined and have similar properties to those familiar from the integers.
		The theory of commutative rings resembles the theory of numbers in several respects, and various definitions for commutative rings are designed to recover properties known from the integers.
		In commutative ring theory, numbers are often replaced by ideals, and the definition of prime ideal tries to capture the essence of prime numbers.
	www.ebroadcast.com.au /lookup/encyclopedia/ri/Ring_theory.html (531 words)

	Glossary of ring theory
		Ring theory is the branch of mathematics in which rings are studied: that is, structures supporting both an addition and a multiplication operation.
		; Kernel of a ring homomorphism : It is the preimage of 0 in the codomain of a ring homomorphism.
		Field theory is in fact an older branch of mathematics than ring theory.
	publicliterature.org /en/wikipedia/g/gl/glossary_of_ring_theory.html (1563 words)

	Glossary of ring theory - Wikipedia, the free encyclopedia
		A ring is a set R with two binary operations, usually called addition (+) and multiplication (*), such that R is an abelian group under addition, a monoid under multiplication, and such that multiplication is both left and right distributive over addition.
		The kernel is the preimage of the element 0 of the codomain of the ring homomorphism.
		A ring satisfying the ascending chain condition for left ideals is left noetherian; a ring satisfying the ascending chain condition for right ideals is right noetherian; a ring that is both left and right noetherian is noetherian.
	en.wikipedia.org /wiki/Glossary_of_ring_theory (1527 words)

	Glossary of ring theory: Definition and Links by Encyclopedian.com
		Please refer to ring theory for a general description of the subject.
		Throughout this article, all rings are unital and that the additive inverse 0 is different from the multiplicative identity 1.
		Field theory[?] is indeed an older mathematics branch than ring theory.
	www.encyclopedian.com /gl/Glossary-of-ring-theory.html (462 words)

	Glossary (Site not responding. Last check: 2007-11-07)
		James Clerk Maxwell´s theory in 1864 suggested that light was such a wave, and today we know that such waves include all forms of light--also infra-red and ultra-violet, as well as radio waves, microwaves, x-rays and gamma rays.
		By the ionic theory, each molecule of such materials consists of molecular or atomic groupings charged with positive or negative electricity ("ions"), held together by their mutual electrical attraction.
		It is an important concept in the theories of energy transfer from the solar wind to the magnetosphere and of energy release in substorms.
	www-istp.gsfc.nasa.gov /Education/gloss.html (5877 words)

	Glossary of ring theory at AllExperts (via CobWeb/3.1 planetlab2.tamu.edu) (Site not responding. Last check: 2007-11-07)
		Ring : A ring is a set R with two binary operations, usually called addition (+) and multiplication (*), such that R is an abelian group under addition, a monoid under multiplication, and such that multiplication is both left and right distributive over addition.
		; Kernel of a ring homomorphism : The kernel is the preimage of the element 0 of the codomain of the ring homomorphism.
		Artinian ring : A ring satisfying the descending chain condition for left ideals is left artinian; if it satisfies the descending chain condition for right ideals, it is right artinian; if it is both left and right artinian, it is called artinian.
	experts.about.com.cob-web.org:8888 /e/g/gl/glossary_of_ring_theory.htm (1766 words)

	Reference.com/Encyclopedia/Ring theory
		In mathematics, ring theory is the study of rings, algebraic structures in which addition and multiplication are defined and have similar properties to those familiar from the integers.
		The study of rings originated from the theory of polynomial rings and the theory of algebraic integers.
		Commutative rings resemble familiar number systems, and various definitions for commutative rings are designed to recover properties known from the integers.
	www.reference.com /browse/wiki/Ring_theory (731 words)

	Glossary
		Kinematic dynamo --In the theory of fluid dynamos, a self-sustaining dynamo process based on a certain flow pattern, without requiring the flow pattern to be consistent with force balance and other physical considerations.
		The theory according to which the changes of oceans and continents are dictated by the lithospheric plates being built up at mid-ocean ridges and consumed at oceanic trenches.
		It is an important concept in the theories of energy transfer from the solar wind to the magnetosphere and of energy release in substorms, and requires a non-zero resistivity near the neutral point, or some process with equivalent properties.
	www.phy6.org /earthmag/glossary.htm (5558 words)

	CHEMystery: Reference: General: Glossary (Site not responding. Last check: 2007-11-07)
		Collision Theory: A theory of reaction rates that posulates that the rate of a reaction is proportional to the number of collisions that occur each second between the reactants.
		Crystal Field Theory: A theory that considers the effects of the polar or ionic ligands of a complex on the energies of the d orbitals of the central metal ion.
		Dalton's Atomic Theory: A theory that matter consists of tiny, indestructible particles called atoms; that all atoms of one element are identical; that atoms of differnt elements have different masses; and that atoms combine in definite ratios b y atoms when they form compounds.
	library.advanced.org /3659/reference/glossary.html (10124 words)

	GLOSSARY -- Ring Theory as Applied to the Three Classical Geometric Construction Problems
		A ring which is commutative under multiplication is called a Commutative Ring.
		A Field is a commutative ring in which all non-zero elements are units.
		A ring for which the multiplicative identity exists is called a ring with identity.
	www.pha.jhu.edu /~napora/seminar/Glossary.html (951 words)

	Glossary
		Theory that breaks fitting a ball to the bowlers hand in 3 parts: span, pitches and hole sizes.
		The area on the ball from one inch inside the midplane to a line from the bowlers PAP to the ring finger and from the PAP to the equator, in which the pin of a ball can be placed safely without the track and holes interfering with one another.
		Because of revolving motion, this area is usually in the form of a ring or rings around the ball.
	www.jayhawkbowling.com /Pro_s_Corner/Glossary/glossary_new.html (2172 words)

	Glossary of ring theory - Education - Information - Educational Resources - Encyclopedia - Music
		Factor ring : Given a ring R and an ideal I of R, the factor ring is the set R/I of cosets together with operations (a+I)+(b+I)=(a+b)+I and (a+I)*(b+I)=ab+I.
		Kernel of a ring homomorphism : It is the preimage of 0 in the codomain of a ring homomorphism.
		Noetherian ring : A ring satisfying the ascending chain condition for left ideals is left noetherian; a ring satisfying the ascending chain condition for right ideals is right noetherian; a ring that is both left and right noetherian is noetherian.
	education.music.us /G/Glossary-of-ring-theory.htm (1691 words)

	Volcanic and Geologic Terms
		Continental Drift: The theory that horizontal movement of the earth's surface causes slow, relative movements of the continents toward or away from one another.
		Plate Tectonics: The theory that the earth's crust is broken into about 10 fragments (plates,) which move in relation to one another, shifting continents, forming new ocean crust, and stimulating volcanic eruptions.
		Tuff Ring: A wide, low-rimmed, well-bedded accumulation of hyalo-clastic debris built around a volcanic vent located in a lake, coastal zone, marsh, or area of abundant ground water.
	volcano.und.edu /vwdocs/glossary.html (4560 words)

	Evolution: Glossary
		Mendelian inheritance is an atomistic theory because in it, inheritance is controlled by distinct genes.
		big bang theory: The theory that states that the universe began in a state of compression to infinite density, and that in one instant all matter and energy began expanding and have continued expanding ever since.
		Although now accepted as a plausible theory, both she and her theory were ridiculed by mainstream biologists for a number of years.
	www.pbs.org /wgbh/evolution/library/glossary (13321 words)

	Complexity, Artificial Life and Self-Organising Systems Glossary
		In this glossary each entry is an hypertext link that takes you to an introduction describing that concept in a wider context.
		This is a universal idea, generalised as 'general selection theory' to be the process of 'variation, selection, retention' underlying all systemic improvement over time (including 'trial and error' learning).
		The idea, from game theory, that agents combine in such a way that both lose or that the total change is a reduction in overall fitness, sometimes called dysergy or 'lose-lose'.
	www.calresco.org /glossary.htm (4452 words)

	Glossary
		Cooling By analogy with the kinetic theory of gases where heat is equivalent to disorder, the term "cooling" designates the reduction of the beam's transverse dimensions and energy spread.
		Quantum mechanics The theory that energy does not have a continuous range of values, but is, instead, absorbed or radiated discontinuously, in multiples of definite, indivisible units called quanta.
		Special Relativity The theory that the laws of nature are the same for all observers in unaccelerated motion and the speed of light is independent of the motion of its source.
	livefromcern.web.cern.ch /livefromcern/antimatter/glossary.html (698 words)

	Flasolar.com, Solar and Energy Glossary of Terms (Site not responding. Last check: 2007-11-07)
		According to the Kinetic Theory of Matter, heat is the result of the continuous motion and vibration of the atoms and molecules that constitute all matter.
		The theory of electricity and its inseparable effect, magnetism, is probably the most accurate and complete of all scientific theories.
		In the monomer of polystyrene a phenyl ring of six carbon atoms is attached to the ethylene unit in place of one hydrogen atom.
	www.flasolar.com /glossary.htm (12593 words)

	Glossary A-H
		The most important thing to remember when using this (or any other) glossary is that just because some aspect of an organism is dignified by a sesquipedalian term, this by no mean signifies that it is "real".
		Informative general morphological glossaries or other sources are Lawrence (1951), Esau (1965, 1977, the latter with a particularly useful glossary), Radford et al.
		anthraquinones: quinones in which the aromatic ring is fused to both sides of a benzoquinone ring, occuring as glycosides in plants, often colored.
	www.mobot.org /MOBOT/Research/APweb/top/glossarya_h.html (6967 words)

	Glossary : SLAC Virtual Visitor Center
		A theory of elementary particles incorporating relativity and quantum mechanics in which the particles are viewed not as points but as extended objects.
		String theory is a possible framework for constructing unified theories which include both the microscopic forces and gravity.
		A unified field theory is one that attempts to combine any two or more of the known interaction types (strong, electromagnetic, weak and gravitational) in a single theory so that the two distinct types of interaction are seen as two different aspects of a single mathematical structure.
	www2.slac.stanford.edu /vvc/glossary.html (5645 words)

	Glossary
		In the gaia theory, all living things on earth are interconnected so as to create one large organic whole as a thin shell surounding the earth.
		The term gaia and the theory behind it is attributed to James Lovelock.
		It is the red ring that responds to the bird's emotional status by pinning or flaring.
	home.rochester.rr.com /thecaiques/glossary.htm (9043 words)

	APOD: May 10, 1999 - Polar Ring Galaxy NGC 4650A (Site not responding. Last check: 2007-11-07)
		NGC 4650A is composed of an old central group of stars and a young ring of stars rotating farther out.
		Polar Ring Galaxies is still being researched, but a leading theory is the collision of two distinct galaxies in the distant past.
		ring typically rotates too fast to be held together by only the visible stars.
	antwrp.gsfc.nasa.gov /apod/ap990510.html (138 words)

	Zoom Astronomy Glossary: S
		It has beautiful rings that are made of ice chunks that range in size from the size of a fingernail to the size of a car; it also has many moons.
		A shepherd satellite is a moon of a planet that orbits along side a ring of that planet; the gravitational forces of the moon confines the ring and giving it a sharp edge.
		A solar halo is a luminous ring that is sometimes seen surrounding the Sun.
	www.enchantedlearning.com /subjects/astronomy/glossary/indexs.shtml (8147 words)

	TFCBooks -- Tesla Site Glossary
		Kinetic Theory A theoretical approach which attempts to explain the behavior of physical systems using the assumptions that the systems are composed of large numbers of atoms/molecules/particles in vigorous motion, that energy and momentum are conserved in collisions of these particles, and that statistical methods can be applied to deduce the behavior of such systems.
		For example, the predominant theory for solar flares is based on the transfer of energy from magnetic fields to plasma particles which can occur in reconnection.
		MHD theory is relevant at relatively low frequencies and for distance scales larger than the Larmor radius.
	www.tfcbooks.com /mainpage/glossary.htm (12260 words)

	CFTC Glossary (Site not responding. Last check: 2007-11-07)
		The theory implies that the best predictor of future prices is the current price, and that past prices are not a reliable indicator of future prices.
		If the random walk theory is correct, Technical Analysis cannot work.
		Ring: A circular area on the trading floor of an exchange where traders and brokers stand while executing futures trades.
	www.cftc.gov /opa/glossary/opaglossary_qr.htm (916 words)

	Spacetime Wrinkles Glossary
		Theories of singularities would be open to observational test.
		According to the special theory of relativity, each perceives himself or herself to be at rest while the other is perceived to be moving.
		Each of these observers is said to be in his or her own "reference frame." Any two observers travelling with the same velocity (the same speed and direction) are said to be in the same reference frame.
	archive.ncsa.uiuc.edu /Cyberia/NumRel/glossary.html (3694 words)

	Olympus FluoView Resource Center: Glossary of Terms in Confocal Microscopy
		Glossary of Terms in Fluorescence and Confocal Microscopy
		The complex nomenclature of fluorescence microscopy is often confusing to both beginning students and seasoned research microscopists alike.
		Typical examples include acridine orange intercalated between successive DNA base pairs, the fluorescein moiety in a conjugated protein or antibody, and the tetrapyrrole ring system in chlorophyll.
	www.olympusfluoview.com /theory/glossary.html (10049 words)

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