Category:Definitions/Normed Unital Algebras

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

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

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

$A$ is a unital algebra over $R$

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