# Category:Normed Division Algebras

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This category contains results about **Normed Division Algebras**.

Definitions specific to this category can be found in **Definitions/Normed Division Algebras**.

Let $\struct {A_F, \oplus}$ be a unitary algebra where $A_F$ is a vector space over a field $F$.

Then $\struct {A_F, \oplus}$ is a **normed divison algebra** if and only if $A_F$ is a normed vector space such that:

- $\forall a, b \in A_F: \norm {a \oplus b} = \norm a \norm b$

where $\norm a$ denotes the norm of $a$.

## Pages in category "Normed Division Algebras"

The following 4 pages are in this category, out of 4 total.