** Next:** Computational concerns
**Up:** Introduction
** Previous:** Noncommutative elimination theory

Notice that, in the above
text, we always considered polynomials
in indeterminates
. We will be considering
matrices
or operators with names such as
*T*, *U*, , , , etc.
If we continue to use *a*'s and *x*'s
for the
indeterminates, then,
in practice, one would be
required to keep track of some not-so-easily-rememberable
bijection between the indeterminates and matrices such as
the bijection define by setting
, ,
, etc.
Instead we have chosen
to use the same name
(or a similar name) for the indeterminate and the
corresponding matrix.

*Helton *

Wed Jul 3 10:27:42 PDT 1996