Twisted tensor products of $K^n$ with $K^m$
  We find three families of twisting maps of K^m with K^n. One of them is related to truncated quiver algebras, the second one consists of deformations of the first and the third one requires m=n and yields algebras isomorphic to M_n(K). Using these families and some exceptional cases we construct all twisting maps of K^3 with K^3. 
J. Arce, Jorge A. Guccione, Juan J. Guccione and C. Valqui
math.RA