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Vietnam Journal of Mathematics 35:2(2007)
153-162
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IBN2
Rings and Their Grothendieck Groups
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Xinmin Lu
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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].
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2000 Mathematics Subject Classification: 16D90, 16E20,
06F20, 06F15.
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Keywords: IBN2
ring; K0-group;
partially ordered abelian group; $\ell$-group.
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Established
by Vietnam Academy of Science and Technology & Vietnam Mathematical
Society
Published
by Springer since January 2013
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