(mathematics, number theory) The branch of number theory in which number-theoretic questions are expressed in terms of properties of algebraic number fields or related objects, and studied using techniques from algebra.

(mathematics, algebraic number theory) A field which includes the rational numbers and has finite dimension as a vector space over the rational numbers.

plural of algebraic number field

(algebra, logic) ring sum normal form

plural of linear algebraic group

(algebraic geometry, category theory) An algebraic group that is isomorphic to a subgroup of some general linear group.

plural of algebraic graph theory

(uncountable, mathematics, graph theory) The subbranch of graph theory in which algebraic methods are applied to problems about graphs.

(algebraic geometry) K-theory studied from the point of view of algebra.

plural of algebraic fundamental group