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irreducible ore

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  • Polynomial ring — In mathematics, especially in the field of abstract algebra, a polynomial ring is a ring formed from the set of polynomials in one or more variables with coefficients in another ring. Polynomial rings have influenced much of mathematics, from the …   Wikipedia

  • France — /frans, frahns/; Fr. /frddahonns/, n. 1. Anatole /ann nann tawl /, (Jacques Anatole Thibault), 1844 1924, French novelist and essayist: Nobel prize 1921. 2. a republic in W Europe. 58,470,421; 212,736 sq. mi. (550,985 sq. km). Cap.: Paris. 3.… …   Universalium

  • Europe, history of — Introduction       history of European peoples and cultures from prehistoric times to the present. Europe is a more ambiguous term than most geographic expressions. Its etymology is doubtful, as is the physical extent of the area it designates.… …   Universalium

  • congo — /kong goh/, n. congou. * * * Congo Congo:Geography Location: Western Africa, bordering the South Atlantic Ocean, between Angola and Gabon Map references: Africa Area: total area: 342,000 sq km land area: 341,500 sq km comparative area: slightly… …   Universalium

  • Congo — /kong goh/, n. 1. People s Republic of the, a republic in central Africa, W of the Democratic Republic of the Congo: formerly an overseas territory in French Equatorial Africa; now an independent member of the French Community. 2,583,198; 132,046 …   Universalium

  • Domain (ring theory) — In mathematics, especially in the area of abstract algebra known as ring theory, a domain is a ring such that ab = 0 implies that either a = 0 or b = 0.[1] That is, it is a ring which has no left or right zero divisors. (Sometimes such a ring is… …   Wikipedia

  • Multiplicity-one theorem — In the mathematical theory of automorphic representations, a multiplicity one theorem is a result about the representation theory of an adelic reductive algebraic group. The multiplicity in question is the number of times a given abstract group… …   Wikipedia

  • Gottfried Leibniz — Infobox Philosopher region = Western Philosophy era = 18th century philosophy color = #B0C4DE |250px image caption = Gottfried Wilhelm Leibniz name = Gottfried Wilhelm Leibniz birth = 1 July (21 June Old Style) 1646, Leipzig, Electorate of Saxony …   Wikipedia

  • Localization of a ring — In abstract algebra, localization is a systematic method of adding multiplicative inverses to a ring. Given a ring R and a subset S , one wants to construct some ring R* and ring homomorphism from R to R* , such that the image of S consists of… …   Wikipedia

  • Nicolae Popescu — Nicolae Popescu, Ph.D., D.Phil. Born 22 September 1937(1937 09 22) Strehaia, Romania Died 29 July 2010(201 …   Wikipedia

  • idealism — /uy dee euh liz euhm/, n. 1. the cherishing or pursuit of high or noble principles, purposes, goals, etc. 2. the practice of idealizing. 3. something idealized; an ideal representation. 4. Fine Arts. treatment of subject matter in a work of art… …   Universalium

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