On a density condition for K0+ of von Neumann regular rings

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URI: http://hdl.handle.net/10498/16075
DOI: 10.1080/00927879408824870
ISSN: 0092-7872
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Pardo Espino, Enrique
Fecha
1994-01-01Departamento/s
MatemáticasFuente
Communications in Algebra 22(2) (1994), 707-719Resumen
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 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
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- Artículos Científicos [4980]
- Articulos Científicos Matemáticas [169]