Definition:Algebraic Structure/Also known as

Algebraic Structure: Also known as
Some sources refer to an algebraic structure as an abstract algebra, but this term is more generally used for the branch of mathematics that studies these structures.

Some sources use the term algebraic system, which reserves for a slightly more general concept.

Some sources use the variant term algebraic structure with $n$ compositions.

Some sources use the notation $\gen {S, \circ_1, \circ_2, \ldots}$ for $\struct {S, \circ_1, \circ_2, \ldots}$ and so on.