A vector space (over some field) with an additional binary operation, a vector-valued product between vectors, which is bilinear over vector addition and scalar multiplication. (N.B.: such bilinearity implies distributivity of the vector multiplication with respect to the vector addition, which means that such a vector space is also a ring.)
A calculation involving multiplication.
The process of computing the sum of a number with itself a specified number of times, or any other analogous binary operation that combines other mathematical objects.
The process of multiplying or increasing in number; increase.