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arXiv · 1309.5420

A theorem of Serre for the ring of twisted formal series

Edward Orlando Latorre Acero
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Abstract

In this paper we prove that if R is a left Noetherian and left regular ring such that all finitely generated projective left R-modules are stably free, then the same is true for the completion R[[x;σ,δ]] of any Ore extension R[x;σ,δ] of R. Additionally assumes certain natural conditions for σand δfor ensure that this completion are good defined. The proof compares the Grothendieck groups K_{0} of R and S using some results find in [3], [6], [7] and [9].

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Edward Orlando Latorre Acero. 2013-09-21. A theorem of Serre for the ring of twisted formal series. https://arxiv.org/abs/1309.5420

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