ABSTRACT
Throughout this paper, k will denote an arbitrary field. By a k-algebra, we will mean an associative k-algebra with 1 ≠ 0. Algebra homomorphisms are assumed to take 1 to 1 and subalgebras are assumed to have the same 1 as the containing algebra. We will let M p×q (k) denote the set of all p × q matrices with entries from k. When p = q = n, the k-algebra M n×n (k) will be denoted by Mn (k). We will assume throughout that n ≥ 2.
