# Category:Algebraic Structures

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This category contains results about Algebraic Structures.

Definitions specific to this category can be found in Definitions/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 9 subcategories, out of 9 total.

### B

### G

### I

### P

### Q

### S

## Pages in category "Algebraic Structures"

This category contains only the following page.