Cancellation properties of projective modules over Laurent polynomial rings (Q1312865)

The author proves two nice theorems on projective modules over polynomial rings and Laurent polynomial rings. There is a large body of work on this subject after the celebrated work of Quillen and Suslin. This paper builds on these and works of \textit{Ravi A. Rao}, \textit{H. Lindell} etc. to prove certain cancellation theorems on Laurent polynomial rings (the author mysteriously omits the necessary condition that there is at least one polynomial variable, in his main theorem (4.3), though he does mention it in proposition 4.1). The techniques depend quite heavily on the above mentioned works and Suslin's theorem on the structure of the special linear group over polynomial rings.