摘要: For any ring A, the group K1A is filtered by Whitehead determinants of invertible matrices over A different sizes. We want to compute corresponding graded (especially highest degree non-zero term) in terms symbols which generalize Mennicke’s symbol. In particular, we Bass-Milnor-Serre result presents SK1A a Dedekind via Mennicke symbol, an arbitrary commutative satisfying Bass second stable range condition. As application, SK1 computed for some rings continuous functions. Some our theorems are partially known, but have often weakened hypotheses, using conditions rather than Krull dimension (having mind applications functions).
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