# 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)