The Torsion-Freeness of Partially Ordered K0-Groups for a Class of Exchange Rings
A ring R is called orthogonal if for any two idempotents e and f in R, the condition that e and f are orthogonal in R implies the condition that [eR] and [fR] are orthogonal in K0（R）^＋, i.e., [eR]∧[fR] = 0. In this paper, we shall prove that the K0-group of every orthogonal, IBN2 exchange ring is al...
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| Veröffentlicht in: | Shu xue yan jiu yu ping lun 2009, Vol.29 (2), p.367-370 |
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| Format: | Artikel |
| Sprache: | chi |
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| Zusammenfassung: | A ring R is called orthogonal if for any two idempotents e and f in R, the condition that e and f are orthogonal in R implies the condition that [eR] and [fR] are orthogonal in K0（R）^＋, i.e., [eR]∧[fR] = 0. In this paper, we shall prove that the K0-group of every orthogonal, IBN2 exchange ring is always torsion-free, which generalizes the main result in [3]. |
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| ISSN: | 1000-341X |