# Category:Definitions/Algebraic Structures

This category contains definitions related to Algebraic Structures.
Related results can be found in Category:Algebraic Structures.

An algebraic structure is an ordered tuple:

$\struct {S, \circ_1, \circ_2, \ldots, \circ_n}$

where $S$ is a set which has one or more binary operations $\circ_1, \circ_2, \ldots, \circ_n$ defined on all the elements of $S \times S$.

An algebraic structure with one (binary) operation is thus an ordered pair which can be denoted $\struct {S, \circ}$ or $\struct {T, *}$, and so on.

## Subcategories

This category has the following 4 subcategories, out of 4 total.

## Pages in category "Definitions/Algebraic Structures"

The following 7 pages are in this category, out of 7 total.