distinguished algebra

  • 1algebra — /al jeuh breuh/, n. 1. the branch of mathematics that deals with general statements of relations, utilizing letters and other symbols to represent specific sets of numbers, values, vectors, etc., in the description of such relations. 2. any of… …

    Universalium

  • 2Cluster algebra — Cluster algebras are a class of commutative rings introduced by Fomin and Zelevinsky (2002, 2003, 2007). A cluster algebra of rank n is an integral domain A, together with some subsets of size n called clusters whose union generates the… …

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  • 3Borel algebra — In mathematics, the Borel algebra (or Borel sigma; algebra) on a topological space X is a sigma; algebra of subsets of X associated with the topology of X . In the mathematics literature, there are at least two nonequivalent definitions of this… …

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  • 4Heyting algebra — In mathematics, Heyting algebras are special partially ordered sets that constitute a generalization of Boolean algebras, named after Arend Heyting. Heyting algebras arise as models of intuitionistic logic, a logic in which the law of excluded… …

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  • 5Symmetric algebra — In mathematics, the symmetric algebra S ( V ) (also denoted Sym ( V )) on a vector space V over a field K is the free commutative unital associative K algebra containing V .It corresponds to polynomials with indeterminates in V , without choosing …

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  • 6Derivation (abstract algebra) — In abstract algebra, a derivation is a function on an algebra which generalizes certain features of the derivative operator. Specifically, given an algebra A over a ring or a field K, a K derivation is a K linear map D: A → A that… …

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  • 7Planar algebra — In mathematics, planar algebras first appeared in the work of Vaughan Jones on the standard invariant of a II1 subfactor [http://www.math.berkeley.edu/ vfr/plnalg1.ps] . They also provide an appropriate algebraic framework for many knot… …

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  • 8Cylindric algebra — The notion of cylindric algebra, invented by Alfred Tarski, arises naturally in the algebraization of first order logic with equality. This is comparable to the role Boolean algebras play for propositional logic. Indeed, cylindric algebras are… …

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  • 9Cycle graph (algebra) — For other uses, see Cycle graph (disambiguation). In group theory, a sub field of abstract algebra, a group cycle graph illustrates the various cycles of a group and is particularly useful in visualizing the structure of small finite groups. For… …

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  • 10Graphic algebra — Graphic Graph ic (gr[a^]f [i^]k), Graphical Graph ic*al (gr[a^]f [i^]*kal), a. [L. graphicus, Gr. grafiko s, fr. gra fein to write; cf. F. graphique. See {Graft}.] 1. Of or pertaining to the arts of painting and drawing; of or pertaining to… …

    The Collaborative International Dictionary of English