p-Algebras over an algebraic function field over a perfect field
Copyright policy )p-Algebras over an algebraic function field over a perfect field
Verf. beweist folgenden Satz: Sei K ein algebraischer Funktionen-Körper in r Variablen über einem vollkommenen Körper. Jede p-Algebra A über K ist Brauer-äquivalent dem Kroneckerprodukt von r zyklischen Divisionsalgebren \(D_ i\) mit Exponent \(D_ i=Index D_ i\) und Exponent \(D_ i\leq Exponent A\). Für \(r=1\) ist das ein bekannter Satz von A. A. Albert.
index, Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.), Algebra and Number Theory, Arithmetic theory of algebraic function fields, central simple K- algebra, Division rings and semisimple Artin rings, Brauer classes, Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras), cyclic division algebras, p-algebras over a perfect field, Finite rings and finite-dimensional associative algebras, exponent, algebraic function field, Brauer groups of schemes
index, Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.), Algebra and Number Theory, Arithmetic theory of algebraic function fields, central simple K- algebra, Division rings and semisimple Artin rings, Brauer classes, Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras), cyclic division algebras, p-algebras over a perfect field, Finite rings and finite-dimensional associative algebras, exponent, algebraic function field, Brauer groups of schemes
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