Have the 2D matrix operations been generalized to n-dimensional matrices?

Are there any books that define various operations on multidimensional matrix? I'd like to see operations such as multidimensional matrix multiplication, multidimensional matrix transpose, multidimensional matrix inversion.

I got only this [reference][1] on the net.

  [1]: http://www.iaeng.org/publication/WCE2010/WCE2010_pp1824-1828.pdf