perfect field

perfect field
мат. совершенное поле

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

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  • Perfect field — In algebra, a field k is said to be perfect if any one of the following equivalent conditions holds: Every irreducible polynomial over k has distinct roots. Every polynomial over k is separable. Every finite extension of k is separable. (This… …   Wikipedia

  • Field (mathematics) — This article is about fields in algebra. For fields in geometry, see Vector field. For other uses, see Field (disambiguation). In abstract algebra, a field is a commutative ring whose nonzero elements form a group under multiplication. As such it …   Wikipedia

  • Field of definition — In mathematics, the field of definition of an algebraic variety V is essentially the smallest field to which the coefficients of the polynomials defining V can belong. Given polynomials, with coefficients in a field K , it may not be obvious… …   Wikipedia

  • Perfect Game Collegiate Baseball League — logo Sport Baseball Founded 2010 No. of teams …   Wikipedia

  • Perfect Strangers (TV series) — Perfect Strangers Perfect Strangers opening title from seasons 3 8. Format Sitcom Created by Dale McRaven …   Wikipedia

  • Perfect Songs — is a music publishing company founded in 1982 by Trevor Horn and his his wife Jill Sinclair. It is part of the SPZ group of companies owned by Horn and his associates, which also includes Sarm Studios (recording studios), Horn Productions (record …   Wikipedia

  • Perfect Drive Golf Villas at PGA Village — (Порт Сейнт Луси,США) Категория отеля: 3 звездочный отель Адрес …   Каталог отелей

  • Glossary of field theory — Field theory is the branch of mathematics in which fields are studied. This is a glossary of some terms of the subject. (See field theory (physics) for the unrelated field theories in physics.) Definition of a field A field is a commutative ring… …   Wikipedia

  • Perfect fluid — In physics, a perfect fluid is a fluid that can be completely characterized by its rest frame energy density rho; and isotropic pressure p .Real fluids are sticky and contain (and conduct) heat. Perfect fluids are idealized models in which these… …   Wikipedia

  • Perfect game — A perfect game is defined by Major League Baseball as a game in which a pitcher (or combination of pitchers) pitches a victory that lasts a minimum of nine innings and in which no opposing player reaches base. [cite… …   Wikipedia

  • Perfect graph — The Paley graph of order 9, colored with three colors and showing a clique of three vertices. In this graph and each of its induced subgraphs the chromatic number equals the clique number, so it is a perfect graph. In graph theory, a perfect… …   Wikipedia


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