Witt group of Hermitian forms over a noncommutative discrete valuation ring

L. Oukhtite

International Journal of Mathematics and Mathematical Sciences, 2005, vol. 2005, 1-7

Abstract:

We investigate Hermitian forms on finitely generated torsion modules over a noncommutative discrete valuation ring. We also give some results for lattices, which still are satisfied even if the base ring is not commutative. Moreover, for a noncommutative discrete-valued division algebra D with valuation ring R and residual division algebra D ¯ , we prove that W ( D ¯ ) ≅ W T ( R ) , where W T ( R ) denotes the Witt group of regular Hermitian forms on finitely generated torsion R -modules.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:478171

DOI: 10.1155/IJMMS.2005.1141

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