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...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2005-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.1141 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832551372996739072 |
|---|---|
| author | L. Oukhtite |
| author_facet | L. Oukhtite |
| author_sort | L. Oukhtite |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-10ee6658dc9c44bda3328b20221546b8 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-10ee6658dc9c44bda3328b20221546b82025-02-03T06:01:39ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252005-01-01200571141114710.1155/IJMMS.2005.1141Witt group of Hermitian forms over a noncommutative discrete valuation ringL. Oukhtite0Département de Mathématiques, Faculté des Sciences et Techniques, Université Moulay Ismaïl, B. P. 509 Boutalamine, Errachidia 52 000, MoroccoWe 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.http://dx.doi.org/10.1155/IJMMS.2005.1141 |
| spellingShingle | L. Oukhtite Witt group of Hermitian forms over a noncommutative discrete valuation ring International Journal of Mathematics and Mathematical Sciences |
| title | Witt group of Hermitian forms over a noncommutative
discrete valuation ring |
| title_full | Witt group of Hermitian forms over a noncommutative
discrete valuation ring |
| title_fullStr | Witt group of Hermitian forms over a noncommutative
discrete valuation ring |
| title_full_unstemmed | Witt group of Hermitian forms over a noncommutative
discrete valuation ring |
| title_short | Witt group of Hermitian forms over a noncommutative
discrete valuation ring |
| title_sort | witt group of hermitian forms over a noncommutative discrete valuation ring |
| url | http://dx.doi.org/10.1155/IJMMS.2005.1141 |
| work_keys_str_mv | AT loukhtite wittgroupofhermitianformsoveranoncommutativediscretevaluationring |