There are 2 ways of producing pretty output. The most practical for a small session is described in the Pretty Output section below. The fancier way is to produce TEX displays. TEX displays can be done in several ways.
One is by using the Mathematica TEX setting features. Just follow their directions; we have installed a few special NCAlgebra features via the file NCTeXForm.m. These features are automatically loaded. If you are useing a notebook and have trouble it is possibly because you do not have mma's notebook.sty file in the correct place. That's not an NCAlgebra problem but is between you and Mma. We did put some suggestions on this in Section 37.7.
Another is TeX produced in real time on the screen. Most of this section is devoted to describing how to produce output in TEX. We have a very effective way of doing this interactively which we highly recommend.
Older methods we developed for TEX are in NCOLDDOC which calls the files OldCommandDoTex.tex and MoreDetailsOnTex.tex which we do not support. pressions together with the context to a file.