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Vietnam Journal of Mathematics 35:2(2007) 153-162

IBN₂ Rings and Their Grothendieck Groups

Xinmin Lu

Abstract.  Following P.M. Cohn [1], a ring R is called an IBN₂ ring if then M = 0. In this paper, we will establish some new characterizations for such class of rings. As an application, we further investigate the structure of their Grothendieck groups, which generalizes the main result Theorem 5.3 in [8].

2000 Mathematics Subject Classification: 16D90, 16E20, 06F20, 06F15.

Keywords: IBN₂ ring; K₀-group; partially ordered abelian group; $\ell$-group.

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