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The stable rank of arithmetic orders in division algebras -- an elementary approach (Q648500)

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scientific article; zbMATH DE number 5976736
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English
The stable rank of arithmetic orders in division algebras -- an elementary approach
scientific article; zbMATH DE number 5976736

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    The stable rank of arithmetic orders in division algebras -- an elementary approach (English)
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    22 November 2011
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    Stable range is a key ingredient in algebraic \(K_1\) of a ring, defined by \textit{H. Bass} [Publ. Math. Inst. Hautes Études Sci. 22, 5--60 (1964; Zbl 0248.18025)], and more generally, in higher algebraic \(K\)-groups via the plus-construction of Quillen. In this paper present in a simple and direct way an upper bound for the stable range in the case, when the ring is an arithmetic order in a division algebra.
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