# Some remarks about the levels and sublevels of algebras obtained by the Cayley-Dickson process

## TL;DR

This paper investigates the properties of levels and sublevels of algebras generated by the Cayley-Dickson process, especially when these measures exceed the algebra's dimension, providing improved bounds or insights.

## Contribution

It offers new results on the levels and sublevels of Cayley-Dickson algebras when these are larger than the algebra's dimension.

## Key findings

- Improved bounds on levels and sublevels of Cayley-Dickson algebras.
- Analysis of cases where levels and sublevels surpass algebra dimensions.

## Abstract

In this paper we improve the level and sublevel of algebras obtained by the Cayley-Dickson process when their level and sublevel are greater than dimension of the algebras.