Category:Definitions/Normed Algebras

This category contains definitions related to Normed Algebras.
Related results can be found in Category:Normed Algebras.

Let $R$ be a division ring with norm $\norm {\,\cdot\,}_R$.

A normed algebra over $R$ is a pair $\struct {A, \norm{\,\cdot\,} }$ where:

$A$ is a algebra over $R$

$ \norm{\,\cdot\,} $ is a norm on $A$.