algebraic operation

An algebraic operation is an operation of ordinary algebra; that is, any of the arithmetic operations of addition, subtraction, multiplication, and division. Operations that involve infinite series and functions such as log x are not algebraic – they depend on the use of limits. The term algebraic is also applied to arithmetic operations carried out with due regard to sign. Thus, the algebraic sum of a and -b is a - b, the algebraic product of -a and -b is +ab, etc.