# How quickly do we generate the matrix algebra?

## Document Type

Presentation Abstract

## Presentation Date

3-5-1999

## Abstract

Let *F* be a field and let *M _{n}(F)* be the full ring of

*n*by

*n*matrices over

*F*. Let

*S*be a finite set of matrices generating

*M*as an algebra. In this talk, we look at how quickly such a set

_{n}(F)*S*generates

*M*. By this we mean, how many multiplications (among elements of

_{n}(F)*S*) are required to pick up a basis for the algebra?

## Recommended Citation

Pappacena, Dr. Christopher, "How quickly do we generate the matrix algebra?" (1999). *Colloquia of the Department of Mathematical Sciences*. 35.

https://scholarworks.umt.edu/mathcolloquia/35

## Additional Details

Friday, 5 March 1999

4:10 p.m. in MA 109

Coffee/Tea/Treats 3:30 p.m. in MA 104 (Lounge)