A characterization of the norm of an Azumaya algebra of constant rank through the divided powers algebra of an algebra

zbMath0609.16003MaRDI QIDQ1086658

Dieter Ziplies

Publication date: 1986

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/138335

zbMATH Keywords

characteristic polynomialAzumaya algebradeterminantmultiplicationreduced normfaithfully flat descentmodule of symmetric contravariant tensors

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Automorphisms and endomorphisms (16W20) Vector and tensor algebra, theory of invariants (15A72) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05)

Related Items (3)

Abelianizing the divided powers algebra of an algebra ⋮ Norms and Cayley-Hamilton algebras ⋮ Reduced norms and abelianizing

This page was built for publication: A characterization of the norm of an Azumaya algebra of constant rank through the divided powers algebra of an algebra