algebraic extension

  • 41Galois extension — In mathematics, a Galois extension is an algebraic field extension E / F satisfying certain conditions (described below); one also says that the extension is Galois. The significance of being a Galois extension is that the extension has a Galois… …

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  • 42Sheaf extension — In Sheaf theory (a branch of the mathematics area of algebraic geometry), a sheaf extension is a way of describing a sheaf in terms of a subsheaf and a quotient sheaf, analogous to a how a group extension describes a group in terms of a subgroup …

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  • 43Function field of an algebraic variety — In algebraic geometry, the function field of an algebraic variety V consists of objects which are interpreted as rational functions on V . In complex algebraic geometry these are meromorphic functions and their higher dimensional analogues; in… …

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  • 44Common Algebraic Specification Language — The Common Algebraic Specification Language (CASL) is a general purpose specification language based on first order logic with induction. Partial functions and subsorting are also supported. CASL has been designed by CoFI, the Common Framework… …

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  • 45List of algebraic topology topics — This is a list of algebraic topology topics, by Wikipedia page. See also: topology glossary List of topology topics List of general topology topics List of geometric topology topics Publications in topology Topological property Contents 1… …

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  • 46List of algebraic number theory topics — This is a list of algebraic number theory topics. Contents 1 Basic topics 2 Important problems 3 General aspects 4 Class field theory …

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  • 47Degree of a field extension — In mathematics, more specifically field theory, the degree of a field extension is a rough measure of the size of the extension. The concept plays an important role in many parts of mathematics, including algebra and number theory indeed in any… …

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  • 48Simple extension — In mathematics, more specifically in field theory, a simple extension is a field extension which is generated by the adjunction of a single element. Simple extensions are well understood and can be completely classified.The primitive element… …

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  • 49Standard Algebraic Notation — Portable Game Notation Pour les articles homonymes, voir PGN. Portable Game Notation (PGN) désigne un standard de codage des parties d échecs. Il est principalement utilisé pour la retransmission des parties sur internet et dans les bases de… …

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  • 50Forking extension — In model theory, a forking extension of a type is an extension that is in some sense not free, and a non forking extension is an extension that is as free as possible. This can be used to extend the notions of linear or algebraic independence to… …

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