Some applications of Hasse principle for pseudoglobal fields

dc.contributor.author	Andriychuk, V.
dc.date.accessioned	2019-06-18T14:16:12Z
dc.date.available	2019-06-18T14:16:12Z
dc.date.issued	2004
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.other	1991 Mathematics Subject Classification: 11R58; 11EA12, 11R37.
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/156462
dc.description.abstract	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.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут прикладної математики і механіки НАН України	uk_UA
dc.relation.ispartof	Algebra and Discrete Mathematics
dc.title	Some applications of Hasse principle for pseudoglobal fields	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA