Definition:Algebraic Structure/Two Operations

Definition
An algebraic structure with $2$ operations is an ordered triple:
 * $\struct {S, \circ, *}$

where:
 * $S$ is a set
 * $\circ$ and $*$ are binary operations defined on all the elements of $S \times S$.

Also see

 * Definition:Algebraic Structure with One Operation


 * Definition:Closed Algebraic Structure
 * Definition:Magma
 * Definition:Algebraic System, a slightly more general concept


 * Definition:Underlying Set of Structure: the set $S$ on $\struct {S, \circ, *}$