rational ring
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Rational homotopy theory — In mathematics, rational homotopy theory is the study of the rational homotopy type of a space, which means roughly that one ignores all torsion in the homotopy groups. It was started by Dennis Sullivan (1977) and Daniel Quillen (1969) … Wikipedia
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
Rational number — In mathematics, a rational number is any number that can be expressed as the quotient or fraction a/b of two integers, with the denominator b not equal to zero. Since b may be equal to 1, every integer is a rational number. The set of all… … Wikipedia
Ring of integers — In mathematics, the ring of integers is the set of integers making an algebraic structure Z with the operations of integer addition, negation, and multiplication. It is a commutative ring, and is the prototypical such by virtue of satisfying only … Wikipedia
Rational function — In mathematics, a rational function is any function which can be written as the ratio of two polynomial functions. DefinitionsIn the case of one variable, x , a rational function is a function of the form: f(x) = frac{P(x)}{Q(x)}where P and Q are … Wikipedia
Rational mapping — In mathematics, in particular the subfield of algebraic geometry, a rational map is a kind of partial function between algebraic varieties. In this article we use the convention that varieties are irreducible.DefinitionA first attemptSuppose we… … Wikipedia
Ring Out Your Dead — Infobox Television episode Series=Midsomer Murders Title=Ring Out Your Dead Season=5 Episode=3 Airdate=15 September, 2002 Writer=Christopher Russell Director=Sarah Hellings Guests=Gemma Jones (Masie Gooch) Hugh Bonneville (Hugh Barton) Dugard… … Wikipedia
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. This is a glossary of some terms of the subject. Contents 1 Definition of a ring 2 Types of… … Wikipedia
Chow ring — In algebraic geometry, the Chow ring (named after W. L. Chow) of an algebraic variety is an algebraic geometric analogue of the cohomology ring of the variety considered as a topological space: its elements are formed out of actual subvarieties… … Wikipedia
Discrete valuation ring — In abstract algebra, a discrete valuation ring (DVR) is a principal ideal domain (PID) with exactly one non zero maximal ideal. This means a DVR is an integral domain R which satisfies any one of the following equivalent conditions: R is a local… … Wikipedia
Adele ring — In number theory, the adele ring is a topological ring which is built on the field of rational numbers (or, more generally, any algebraic number field). It involves all the completions of the field.The word adele is short for additive idele .… … Wikipedia
