Definition:Algebraic Structure/One Operation

Definition
An algebraic structure with $1$ operation is an ordered pair:
 * $\struct {S, \circ}$

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

Also see

 * Definition:Algebraic Structure with Two Operations


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


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