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Algebraic may refer to any subject related to
algebra Algebra (from ar, الجبر, lit=reunion of broken parts, bonesetting, translit=al-jabr) is one of the areas of mathematics, broad areas of mathematics, together with number theory, geometry and mathematical analysis, analysis. In its most ge ...

algebra
in mathematics and related branches like
algebraic number theory Algebraic number theory is a branch of number theory Number theory (or arithmetic or higher arithmetic in older usage) is a branch of devoted primarily to the study of the s and . German mathematician (1777–1855) said, "Mathematics is th ...
and
algebraic topology Algebraic topology is a branch of mathematics Mathematics (from Greek: ) includes the study of such topics as numbers (arithmetic and number theory), formulas and related structures (algebra), shapes and spaces in which they are contained ...
. The word algebra itself has several meanings. Algebraic may also refer to: *
Algebraic data type In computer programming, especially functional programming and type theory, an algebraic data type is a kind of Data type#Composite types, composite type, i.e., a type formed by combining other types. Two common classes of algebraic types are prod ...
, a datatype in computer programming each of whose values is data from other datatypes wrapped in one of the constructors of the datatype *
Algebraic number An algebraic number is any complex number In mathematics, a complex number is an element of a number system that contains the real numbers and a specific element denoted , called the imaginary unit, and satisfying the equation . Moreover, ev ...
s, a complex number that is a root of a non-zero polynomial in one variable with integer coefficients *
Algebraic functionIn mathematics Mathematics (from Ancient Greek, Greek: ) includes the study of such topics as quantity (number theory), mathematical structure, structure (algebra), space (geometry), and calculus, change (mathematical analysis, analysis). It ha ...
s, functions satisfying certain polynomials *
Algebraic element In mathematics, if is a field extension of , then an element of is called an algebraic element over , or just algebraic over , if there exists some non-zero polynomial with coefficients in such that . Elements of which are not algebraic over ...
, an element of a field extension which is a root of some polynomial over the base field *
Algebraic extension In abstract algebra, a field extension ''L''/''K'' is called algebraic if every element of ''L'' is algebraic over ''K'', i.e. if every element of ''L'' is a root In vascular plants, the roots are the plant organ, organs of a plant that are ...
, a field extension such that every element is an algebraic element over the base field * Algebraic definition, a definition in mathematical logic which is given using only equalities between terms *
Algebraic structure In mathematics Mathematics (from Ancient Greek, Greek: ) includes the study of such topics as quantity (number theory), mathematical structure, structure (algebra), space (geometry), and calculus, change (mathematical analysis, analysis). It ...
, a set with one or more finitary operations defined on it * Algebraic, the order of entering operations when using a calculator (contrast
reverse Polish notation Reverse Polish notation (RPN), also known as Polish postfix notation or simply postfix notation, is a mathematical notation in which operators ''follow'' their operands, in contrast to Polish notation (PN), in which operators ''precede'' their ...
) *
Algebraic sum In mathematics Mathematics (from Ancient Greek, Greek: ) includes the study of such topics as quantity (number theory), mathematical structure, structure (algebra), space (geometry), and calculus, change (mathematical analysis, analysis). I ...
, a summation of quantities that takes into account their signs; e.g. the algebraic sum of 4, 3, and -8 is -1.


See also

* Algebra (disambiguation) * Algebraic notation (disambiguation) * {{disambig