Definition:Coordinate System

Definition
Let $R$ be a ring with unity.

Let $\sequence {a_k}_{1 \mathop \le k \mathop \le n}$ be an ordered basis of a free $R$-module $G$.

Then $\sequence {a_k}_{1 \mathop \le k \mathop \le n}$ can be referred to as a coordinate system.

Also see

 * Definition:Cartesian Coordinate System
 * Definition:Polar Coordinate System
 * Definition:Astronomical Coordinate System
 * Definition:Geographical Coordinate System
 * Definition:Inertial Coordinate System