\(K_0\) of exchange rings with stable range 1 (Q863775)

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scientific article; zbMATH DE number 5120094
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\(K_0\) of exchange rings with stable range 1
scientific article; zbMATH DE number 5120094

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    \(K_0\) of exchange rings with stable range 1 (English)
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    31 January 2007
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    The main result in this paper is an example that shows that the class of generalized abelian rings is a proper subclass of the class of weakly generalized abelian rings. Furthermore, it is shown that, for an exchange ring \(R\) with stable range 1, \(K_0(R)\) is an \(\ell\)-group if and only if \(R\) is a weakly generalized abelian ring.
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    exchange ring
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    weakly generalized Abelian ring
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    stable range 1
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