  In the first part of this paper, we consider 3 x 3 x 3 arrays with complex
entries, and provide a complete self-contained proof of Kruskal's theorem that
the maximum rank is 5. In the second part, we provide a complete classification
of the canonical forms of 3 x 3 x 3 arrays over F_2; in particular, we obtain
explicit examples of such arrays with rank 6.

Rings and Algebras