Vogel's notion of regularity for non-coherent rings
K-Theory and Homology
2007-05-23 v1 Algebraic Topology
Abstract
We study the notion of regular ring in the sense of Vogel, which generalizes the classical notion for non-necessarily coherent rings. We build a class of groups "R" containing Waldhausen's class "Cl" in [Wald78] and study its stability results. We show that for a regular ring R and a group G in "R", the group ring R[G] is still regular. Finally, we state Vogel's excision conjecture generalizing Waldhausen's results in [Wald78] concerning Whitehead and KNil groups.
Keywords
Cite
@article{arxiv.math/0612569,
title = {Vogel's notion of regularity for non-coherent rings},
author = {Frank Bihler},
journal= {arXiv preprint arXiv:math/0612569},
year = {2007}
}
Comments
19 pages, 3 figures. See also http://www.institut.math.jussieu.fr/~bihler