On a density condition for k<inf>0</inf><sup>+</sup>of von neumann regular rings.

E. Pardo

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5 Citations (Scopus)

Abstract

P.Ara and K.R.Goodearl, in [1], introduced and studied the concept of a regular ring R satisfying the following condition, which they called condition (D): ϕ(k0(r)+) is dense in Aff(S(Ko(R),[R]))+, where ϕ denotes the natural map from Ko(R) to Aff(S(Ko(R), [R])).They proved that every nonartinian, stably finite, strictly unperforated, simple regular ring satisfies condition (D). In this note we prove that a regular ring R satisfies condition (D) if and only if R has no nonzero artinian homomorphic image. We then obtain as a consequence that every nonartinian, simple regular ring satisfies condition (D). © 1994, Taylor & Francis Group, LLC. All rights reserved.
Original languageEnglish
Pages (from-to)707-719
JournalCommunications in Algebra
Volume22
Issue number2
DOIs
Publication statusPublished - 1 Jan 1994

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