This is a survey/ text request for noncommutative grobner basis. A googling gave me these:
http://www.sciencedirect.com/science/article/pii/0304397594902836
http://www.win.tue.nl/~amc/talks/grobner.pdf
https://www.msri.org/~de/papers/pdfs/1998-001.pdf
Although I have not looked at these in detail I wanted to know which note/book/survey an expert on the field would suggest. Thanks for any input.