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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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