ABSTRACT

We start with a finite-dimensional vector space V over a field F. V is said to form a linear associative algebra over F if for u, v ∈ V the product uv is so defined as to satisfy () w ( αu + βv )  = αwu + βwv and ( αu + βv ) w = αuw + βvw https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315139463/240bbb93-6815-40d4-a336-935ccad8ea72/content/eq2095.tif"/>