Definition:Ideal of Ring/Right Ideal

Definition
Let $\struct {R, +, \circ}$ be a ring.

Let $\struct {J, +}$ be a subgroup of $\struct {R, +}$.

$J$ is a right ideal of $R$ :
 * $\forall j \in J: \forall r \in R: j \circ r \in J$

that is, :
 * $\forall r \in R: J \circ r \subseteq J$

Also see

 * Definition:Left Ideal of Ring