Witt group of Hermitian forms over a noncommutative discrete valuation ring
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 algebraD with valuat...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2005-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.1141 |
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| Summary: | 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 algebraD with
valuation ring R and residual division algebra D¯, we prove
that W(D¯)≅WT(R), where WT(R) denotes the Witt group
of regular Hermitian forms on finitely generated torsion R-modules. |
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| ISSN: | 0161-1712 1687-0425 |