Some applications of Hasse principle for pseudoglobal fields
Some corollaries of the Hasse principle for Brauer
 group of a pseudoglobal field are obtained. In particular we prove
 Hasse-Minkowski theorem on quadratic forms over pseudoglobal
 field and the Hasse principle for quadratic forms of rank 2 or 3
 over the field of fr...
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
|---|---|
| Datum: | 2004 |
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2004
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/156462 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Some applications of Hasse principle for pseudoglobal fields / V. Andriychuk // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 2. — С. 1–8. — Бібліогр.: 13 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862700423429750784 |
|---|---|
| author | Andriychuk, V. |
| author_facet | Andriychuk, V. |
| citation_txt | Some applications of Hasse principle for pseudoglobal fields / V. Andriychuk // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 2. — С. 1–8. — Бібліогр.: 13 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | Some corollaries of the Hasse principle for Brauer
group of a pseudoglobal field are obtained. In particular we prove
Hasse-Minkowski theorem on quadratic forms over pseudoglobal
field and the Hasse principle for quadratic forms of rank 2 or 3
over the field of fractions of an excellent two-dimensional henselian
local domain with pseudofinite residue field. It is considered also
the Galois group of maximal p-extensions of a pseudoglobal field.
|
| first_indexed | 2025-12-07T16:38:54Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-156462 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T16:38:54Z |
| publishDate | 2004 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Andriychuk, V. 2019-06-18T14:16:12Z 2019-06-18T14:16:12Z 2004 Some applications of Hasse principle for pseudoglobal fields / V. Andriychuk // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 2. — С. 1–8. — Бібліогр.: 13 назв. — англ. 1726-3255 1991 Mathematics Subject Classification: 11R58; 11EA12, 11R37. https://nasplib.isofts.kiev.ua/handle/123456789/156462 Some corollaries of the Hasse principle for Brauer
 group of a pseudoglobal field are obtained. In particular we prove
 Hasse-Minkowski theorem on quadratic forms over pseudoglobal
 field and the Hasse principle for quadratic forms of rank 2 or 3
 over the field of fractions of an excellent two-dimensional henselian
 local domain with pseudofinite residue field. It is considered also
 the Galois group of maximal p-extensions of a pseudoglobal field. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Some applications of Hasse principle for pseudoglobal fields Article published earlier |
| spellingShingle | Some applications of Hasse principle for pseudoglobal fields Andriychuk, V. |
| title | Some applications of Hasse principle for pseudoglobal fields |
| title_full | Some applications of Hasse principle for pseudoglobal fields |
| title_fullStr | Some applications of Hasse principle for pseudoglobal fields |
| title_full_unstemmed | Some applications of Hasse principle for pseudoglobal fields |
| title_short | Some applications of Hasse principle for pseudoglobal fields |
| title_sort | some applications of hasse principle for pseudoglobal fields |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/156462 |
| work_keys_str_mv | AT andriychukv someapplicationsofhasseprincipleforpseudoglobalfields |