St. Petersburg Mathematical Journal, 12. cilt,507-1059. sayfalarAmerican Mathematical Society, 2001 |
Kitabın içinden
46 sonuçtan 1-3 arası sonuçlar
Sayfa 794
... simple F - algebras form a group , the Brauer group Br ( F ) of the field F. 1.3 . Clifford algebras . Let o be a ... simple algebra over F ; 2 ) if dim is even and det + field L = F ( √det + 0 ) ; - 1 , then Co ( ) is a central simple ...
... simple F - algebras form a group , the Brauer group Br ( F ) of the field F. 1.3 . Clifford algebras . Let o be a ... simple algebra over F ; 2 ) if dim is even and det + field L = F ( √det + 0 ) ; - 1 , then Co ( ) is a central simple ...
Sayfa 796
... simple , we may assume that Mn ( B ) C AL . Let D = CAL ( Mn ( B ) ) L B. By the centralizer theorem , we have Mn ( D ) AL . Let E be a subfield in D such that [ Dɛ ] = 0 ( e.g. , as E we can take a maximal subfield in D ) . Then [ E ...
... simple , we may assume that Mn ( B ) C AL . Let D = CAL ( Mn ( B ) ) L B. By the centralizer theorem , we have Mn ( D ) AL . Let E be a subfield in D such that [ Dɛ ] = 0 ( e.g. , as E we can take a maximal subfield in D ) . Then [ E ...
Sayfa 797
Lemma 2.5 . Let A be a central simple algebra , and let B be a simple F - algebra . Then : 1 ) k ( Mn ( A ) , Mn ( B ) ) = k ( A , B ) for every positive integer n ; 2 ) if Q is a central simple F - algebra , then k ( A & F Q , B & F Q ) ...
Lemma 2.5 . Let A be a central simple algebra , and let B be a simple F - algebra . Then : 1 ) k ( Mn ( A ) , Mn ( B ) ) = k ( A , B ) for every positive integer n ; 2 ) if Q is a central simple F - algebra , then k ( A & F Q , B & F Q ) ...
İçindekiler
SH BIRMAN A LAPTEV AND T A SUSLINA | 536 |
2 Formulation of the main results | 543 |
4 Proof of Theorem 2 3 beginning | 551 |
Telif Hakkı | |
6 diğer bölüm gösterilmiyor
Diğer baskılar - Tümünü görüntüle
Sık kullanılan terimler ve kelime öbekleri
algebra apply arbitrary assume asymptotic axes axis base belongs boundary bounded called coincides compact complete condition consequence consider constant construction contains continuous corresponding defined definition denote depend described determined dimension disks element English transl equal equation equivalent estimate exists exponential extension fiber field Figure finite fixed formula function given graph Hence homomorphism identity implies inequality integral introduce invariant isomorphism Lemma manifold Math Mathematical neighborhood obtain operator positive problem projection Proof Proposition proved quadratic form recall regular relation remains Remark representation respectively restriction satisfies semigroup sequence side similar simple smooth solution space spectrum Sq² statement Subsection suffices Suppose Theorem theory transformation trivial true values variation vector weight zero