A nice group structure on the orbit space of unimodular rows-II

2012/11/29 by Gupta, Anjan, Garge, Anuradha, Rao, Ravi A. · 1 citation
#13C10 #19D45 #19G12 #55Q55 #FOS: Mathematics #K-Theory and Homology (math.KT)

paper · doi:10.48550/arxiv.1211.6871

Abstract

We establish an Excision type theorem for niceness of group structure on the orbit space of unimodular rows of length n modulo elementary action. This permits us to establish niceness for relative versions of results for the cases when n = d+1, d being the dimension of the base algebra. We then study and establish niceness for the case when n = d, and also establish a relative version, when the base ring is a smooth affine algebra over an algebraically closed field.

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