Abstract:
In this thesis, we explore the problem of the completion of unimodular rows which has its historical importance in the solution of Serre's problem. We also study Classical Algebraic K-theory in the context of projective modules and unimodular rows. We end the thesis with the study of a recent theorem on the completion of unimodular row of length 3 and understand its constructive proof using the help of the software Macaulay2.
