Inverse element

The inverse element is the opposite of a number or equation. The inverses of  in addition is  (called the additive inverse), and  or  in multiplication (called the multiplicative inverse, or reciprocal).

In general, given an element g in a group S equipped with an operation , an inverse element of g is an element g* such that  and  are both equal to the identity element (of the group). Other examples of inverse include inverse function and matrix inverse.

 Related pages 

 Field (mathematics), a set equipped with additive inverses and multiplicative inverses (except for zero)

 References 

Category:Algebra