(algebraic geometry) Informally, any function expressible using (only) the operations of addition, subtraction, multiplication, division and raising to a rational power; more precisely, any continuous function definable as the root of some polynomial equation.

plural of algebraic integer

(algebra, universal algebra) Any one of the numerous types of mathematical object studied in algebra and especially in universal algebra;

(algebra, field theory, of a field) Which contains as an element every root of every nonconstant univariate polynomial definable over it (i.e., over said field).

(mathematics) The branch of mathematics that uses tools from abstract algebra to study topological spaces.

plural of algebraic number

A mathematician who specializes in algebraic geometry.

plural of algebraic geometer

plural of algebraic function

(algebra, field theory, of a field F) A field G such that every polynomial over F splits completely over G (i.e., every element of G is a root of some polynomial over F and every root of every polynomial over F is an element of G).