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## Abstract

Let X be a connected, noetherian scheme and A{script} be a sheaf of Azumaya algebras on X, which is a locally free O{script}-module of rank a. We show that the kernel and cokernel of K(X) ? K(A{script}) are torsion groups with exponent a for some m and any i = 0, when X is regular or X is of dimension d with an ample sheaf (in this case m = d + 1). As a consequence, K(X, Z/m) ? K(A{script}, Z/m), for any m relatively prime to a.

Original language | English |
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Pages (from-to) | 1268-1277 |

Journal | Communications in Algebra |

Volume | 41 |

Issue number | 4 |

DOIs | |

Publication status | Published - 02 Apr 2013 |

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