The word algebra is used for various branches and structures of mathematics. For their overview, see Algebra. The name comes from the famous 10th century book Al-Jabr by Al-Khwarizmi.
More specifically, 'algebra may refer to:
An "algebra", or to be verbose, an algebra over a field, is a vector space equipped with a bilinear vector product. Some notable algebras in this sense are:
A different class of "algebras" consists of objects which generalize logical connectives, sets, and lattices.
"Algebra" can also describe more general structures: