abstract ring

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• Ring (mathematics) — This article is about algebraic structures. For geometric rings, see Annulus (mathematics). For the set theory concept, see Ring of sets. Polynomials, represented here by curves, form a ring under addition and multiplication. In mathematics, a… …   Wikipedia

• Abstract analytic number theory — is a branch of mathematics which takes the ideas and techniques of classical analytic number theory and applies them to a variety of different mathematical fields. The classical prime number theorem serves as a prototypical example, and the… …   Wikipedia

• Ring theory — In abstract algebra, 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. Ring theory studies the structure of rings, their… …   Wikipedia

• Abstract algebra — This article is about the branch of mathematics. For the Swedish band, see Abstrakt Algebra. The permutations of Rubik s Cube have a group structure; the group is a fundamental concept within abstract algebra. Abstract algebra is the subject area …   Wikipedia

• Abstract variety — In mathematics, in the field of algebraic geometry, the idea of abstract variety is to define a concept of algebraic variety in an intrinsic way. This followed the trend in the definition of manifold independent of any ambient space (Hassler… …   Wikipedia

• Ring homomorphism — In ring theory or abstract algebra, a ring homomorphism is a function between two rings which respects the operations of addition and multiplication. More precisely, if R and S are rings, then a ring homomorphism is a function f : R → S such that …   Wikipedia

• Ring oscillator — A ring oscillator is a device composed of an odd number of NOT gates whose output oscillates between two voltage levels, representing true and false . The NOT gates, or inverters, are attached in a chain; the output of the last inverter is fed… …   Wikipedia

• Ring (Suzuki novel) — infobox Book | name = Ring title orig = nihongo| Ring |リング|Ringu translator = image caption = Cover of the first British print by Harper Collins author = Koji Suzuki illustrator = cover artist = country = Japan language = Japanese series = genre …   Wikipedia

• Ring species — In biology, a ring species is a connected series of neighboring populations that can interbreed with relatively closely related populations, but for which there exist at least two end populations in the series that are too distantly related to… …   Wikipedia

• Ring Trilogy — The Ring Trilogy is a series of novels by Koji Suzuki: Ringu ( Ring , 1991), Rasen ( Spiral , 1995) and Rupu ( Loop , 1998). Suzuki also wrote a collection of short stories, The Birthday (1999).Relationship to filmsThe Spiral film of 1998 was an… …   Wikipedia

• Abstract nonsense — Die Kategorientheorie oder die kategorielle Algebra ist ein Zweig der Mathematik, der sich Anfang der 1940er Jahre zuerst im Rahmen der Topologie entwickelte; Saunders MacLane nennt seine 1945 gemeinsam mit Samuel Eilenberg entstandene „General… …   Deutsch Wikipedia