(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.

plural of leg extension

(weightlifting) An exercise performed on a machine while seated. The quadriceps (thigh muscles) are exerted to straighten the knee while acting against resistance applied to the lower shin.

Alternative spelling of coextensive