(mathematics, logic) An extension of a logical theory such that every theorem expressible in the original theory is also derivable within the original theory.

The extension of the advantages of university instruction by means of lectures and classes at various centres.

plural of university extension

(algebra, field theory, algebraic geometry) Any pair of fields, denoted L/K, such that K is a subfield of L.

plural of field extension

plural of algebraic extension

(algebra, field theory) A field extension L/K which is algebraic over K (i.e., is such that every element of L is a root of some (nonzero) polynomial with coefficients in K).

(algebra) A finite (and thereby algebraic) extension of a base field such that every element of the extension is the root of a separable polynomial over the base field.

(algebra) A finite, algebraic extension of some field such that if it contains any root of any irreducible polynomial over that base field then it contains all of the roots of that polynomial.

A power strip.