Definition:Product (Abstract Algebra)

Definition
Let $\struct {S, \circ}$ be an algebraic structure.

Let $\circ$ be the operation on $\struct {S, \circ}$.

Group Product
Let $\struct {G, \circ}$ be a group.

Ring Product
Let $\struct {R, *, \circ}$ be a ring.

Field Product
Let $\struct {F, +, \times}$ be a field.