# Category:Algebras

This category contains results about algebras over rings and fields in the context of Abstract Algebra.
Definitions specific to this category can be found in Definitions/Algebras.

Let $R$ be a commutative ring.

An algebra over $R$ is an ordered pair $\left({A, *}\right)$ where:

$A$ is an $R$-module
$*: A^2 \to A$ is an $R$-bilinear mapping

## Subcategories

This category has the following 2 subcategories, out of 2 total.

## Pages in category "Algebras"

The following 22 pages are in this category, out of 22 total.