query: What are the main types of algebra?
passage: Algebra
Today, algebra has grown until it includes many branches of mathematics, as can be seen in the Mathematics Subject Classification[6] where none of the first level areas (two digit entries) is called algebra. Today algebra includes section 08-General algebraic systems, 12-Field theory and polynomials, 13-Commutative algebra, 15-Linear and multilinear algebra; matrix theory, 16-Associative rings and algebras, 17-Nonassociative rings and algebras, 18-Category theory; homological algebra, 19-K-theory and 20-Group theory. Algebra is also used extensively in 11-Number theory and 14-Algebraic geometry.
passage: Algebra (disambiguation)
The word 'algebra' is used for various branches and structures of mathematics. For their overview, see Algebra.
The bare word "algebra" may refer to: