Algebraic extension


a field containing a given field such that every element in the first field is algebraic over the given field.

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  • Algebraic expression

    a symbol or a combination of symbols used in algebra, containing one or more numbers, variables, and arithmetic operations: how to solve algebraic expressions. Historical Examples An equation admits of description in two ways:— It may be regarded purely as an algebraic expression, or as a geometrical locus. Encyclopaedia Britannica, 11th Edition, Volume 9, Slice […]

  • Algebraic function

    a function that can be expressed as a root of an equation in which a polynomial, in the independent and dependent variables, is set equal to zero. noun (maths) any function which can be constructed in a finite number of steps from the elementary operations and the inverses of any function already constructed Compare transcendental […]

  • Algebraic geometry

    the study of sets that are defined by algebraic equations.

  • Algebraic interpretive dialogue

    algebraic interpretive dialogue language (AID) A version of Joss II for the PDP-10. [“AID (Algebraic Interpretive Dialogue)”, DEC manual, 1968]. (1995-04-12)

  • Algebraic logic functional language

    algebraic logic functional language language (ALF) A language by Rudolf Opalla [email protected] which combines functional programming and logic programming techniques. ALF is based on Horn clause logic with equality which consists of predicates and Horn clauses for logic programming, and functions and equations for functional programming. Any functional expression can be used in a goal […]


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