Note on theK0 of rings with Zariskian filtration |
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| Authors: | Li Huishi M Van Den Bergh and F Van Oystaeyen |
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| Institution: | (1) Department of Mathematics, Shaanxi Normal University, Xian, P.R. China;(2) Department of Mathematics and Computer Science, University of Antwerp, UIA, 2610 Wilrijk, Belgium |
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| Abstract: | For a noncommutative Zariski ringR with associated graded ringG(R) of finite global dimension there is an injectionK
o(R)  K
o
(G(R)). The result applies to certain rings of differential operators, in particular to the ring of germs of microlocal differential operators that also provides an example of a nonpositively filtered Zariski ring.Research fellow at UIA, supported by a grant from the Province of Antwerp.Supported by an NFWO grant. |
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| Keywords: | K
o-theory Zariskian filtration stably-free |
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