Algebra over a field
（重定向自Distributive algebra）
In mathematics, an algebra is one of the fundamental algebraic structures used in abstract algebra. An algebra over a field is a vector space (a module over a field) equipped with a bilinear product. Thus, an algebra over a field is a set, together with operations of multiplication, addition, and scalar multiplication by elements of the underlying field, that satisfy the axioms implied by "vector space" and "bilinear".