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".

单词	Distributive algebra
释义	Distributive algebra 英语百科 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".
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