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n. A branch of mathematics in which symbols, usually letters of the alphabet, represent numbers or members of a specified set and are used to represent quantities and to express general relationships that hold for all members of the set.

n. A set together with a pair of binary operations defined on the set. Usually, the set and the operations include an identity element, and the operations are commutative or associative.

n. A system for computation using letters or other symbols to represent numbers, with rules for manipulating these symbols.

n. The study of algebraic structures.

n. A universal algebra.

n. An algebraic structure consisting of a module of a commutative ring along with an additional binary operation that is bilinear.

n. A collection of subsets of a given set, such that this collection contains the empty set, and the collection is closed under unions and complements (and thereby also under intersections and differences).

n. One of several other types of mathematical structure.

n. That branch of mathematics which treats of the relations and properties of quantity by means of letters and other symbols. It is applicable to those relations that are true of every kind of magnitude.

n. A treatise on this science.

n. Formal mathematics; the analysis of equations; the art of reasoning about relations, more especially quantitative relations, by the aid of a compact and highly systematized notation.

n. Any special system of notation adapted to the study of a special system of relationship: as, “it is an algebra upon an algebra,” Sylvester.

n. A treatise on algebra.

n. Its abbreviation is algebra

n. Algebra of multiple units.

n. the mathematics of generalized arithmetical operations

"From the syntactic side, the free C-algebra B on a set X arises as a quotient of the term algebra formed from X (viewed as a set of variables) using the operation symbols and constants common to the algebras of C."

pure mathematics   

double algebra    pure algebra    logical algebra    boolian algebra    universal algebra   

matrix algebra    quadratics    linear algebra    vector algebra   

calculus    arithmetic    mathematics    geometry    trigonometry