Category:Algebras over Fields
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This category contains results about Algebras over Fields.
Definitions specific to this category can be found in Definitions/Algebras over Fields.
Let $F$ be a field.
An algebra over $F$ is an ordered pair $\struct {A, *}$ where:
- $A$ is a vector space over $F$
- $* : A^2 \to A$ is a bilinear mapping
That is, it is an algebra $\struct {A, *}$ over the ring $F$ where:
- $F$ is a field
- the $F$-module $A$ is a vector space.
Subcategories
This category has the following 2 subcategories, out of 2 total.
E
U
Pages in category "Algebras over Fields"
The following 3 pages are in this category, out of 3 total.