algebra of varieties

algebra of varieties
мат. алгебра многообразий

Большой англо-русский и русско-английский словарь. 2001.

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  • Universal algebra — (sometimes called general algebra) is the field of mathematics that studies algebraic structures themselves, not examples ( models ) of algebraic structures.For instance, rather than take particular groups as the object of study, in universal… …   Wikipedia

  • Variety (universal algebra) — This article is about a class of algebraic structures of the same signature. For the set of solutions to a system of polynomial equations, see Algebraic variety. In mathematics, specifically universal algebra, a variety of algebras is the class… …   Wikipedia

  • Valuation (algebra) — In algebra (in particular in algebraic geometry or algebraic number theory), a valuation is a function on a field that provides a measure of size or multiplicity of elements of the field. They generalize to commutative algebra the notion of size… …   Wikipedia

  • Equations defining abelian varieties — In mathematics, the concept of abelian variety is the higher dimensional generalization of the elliptic curve. The equations defining abelian varieties are a topic of study because every abelian variety is a projective variety. In dimension d ge; …   Wikipedia

  • Interior algebra — In abstract algebra, an interior algebra is a certain type of algebraic structure that encodes the idea of the topological interior of a set. Interior algebras are to topology and the modal logic S4 what Boolean algebras are to set theory and… …   Wikipedia

  • Graded algebra — In mathematics, in particular abstract algebra, a graded algebra is an algebra over a field (or commutative ring) with an extra piece of structure, known as a gradation (or grading ). Graded rings A graded ring A is a ring that has a direct sum… …   Wikipedia

  • MV-algebra — In abstract algebra, a branch of pure mathematics, an MV algebra is an algebraic structure with a binary operation oplus, a unary operation eg, and the constant 0, satisfying certain axioms. MV algebras are models of Łukasiewicz logic; the… …   Wikipedia

  • Finitely generated algebra — In mathematics, a finitely generated algebra is an associative algebra A over a field K such that every element of A can be expressed as a polynomial in a finite set of elements a 1, hellip;, a n of A , with coefficients in K . If it is necessary …   Wikipedia

  • Clone (algebra) — In universal algebra, a clone is a set C of operations on a set A such that C contains all the projections πkn: An → A, defined by πkn(x1, …,xn) = xk, C is closed under (finitary multiple) composition (or superposition [1]): if f, g1, …, gm are… …   Wikipedia

  • Computer-Algebra — Die Computeralgebra ist das Teilgebiet der Mathematik, das sich mit der symbolischen Manipulation algebraischer Ausdrücke beschäftigt. Inhaltsverzeichnis 1 Zweck 2 Effiziente exakte Arithmetik mit ganzen Zahlen 3 Effiziente exakte Arithmetik mit… …   Deutsch Wikipedia

  • Band (algebra) — In mathematics, a band is a semigroup in which every element is idempotent (in other words equal to its own square). The lattice of varieties of bands was described independently by Birjukov, Fennemore and Gerhard. Semilattices, left zero bands,… …   Wikipedia


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