Vogel's notion of regularity for non-coherent rings

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dc.creatorBihler, Frank
dc.date2006-12-19
dc.date.accessioned2026-07-07T07:36:20Z
dc.date.available2026-07-07T07:36:20Z
dc.descriptionWe 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.
dc.description19 pages, 3 figures. See also http://www.institut.math.jussieu.fr/~bihler
dc.identifierhttps://arxiv.org/abs/math/0612569
dc.identifierhttp://arxiv.org/abs/math/0612569
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120388
dc.subjectK-Theory and Homology
dc.subjectAlgebraic Topology
dc.subject16E65; 19D35; 55U15
dc.titleVogel's notion of regularity for non-coherent rings
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