Reduced norms and abelianizing

DOI10.1016/0021-8693(90)90262-MzbMath0713.18001MaRDI QIDQ749644

Dieter Ziplies

Publication date: 1990

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

determinantabelianizationabelian objectcategory of R-algebras and multiplicative polynomial lawsR-Azumaya algebras

Mathematics Subject Classification ID

Epimorphisms, monomorphisms, special classes of morphisms, null morphisms (18A20) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05)

Cites Work

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• Abelianizing the divided powers algebra of an algebra
• A characterization of the norm of an Azumaya algebra of constant rank through the divided powers algebra of an algebra
• \(SK_1\) von Schiefkörpern. Seminar Bielefeld-Göttingen, 1976
• Théorie de la descente et algèbres d'Azumaya
• Separable algebras over commutative rings
• Divided powers and multiplicative polynomial laws
• A characterization of the determinant
• Eine axiomatische Kennzeichnung der Determinante auf endlich-erzeugten, projektiven Moduln.
• Separable Algebren über kommutativen Ringen.
• ON THE ROLE OF THE DETERMINANT IN SEMIGROUPS OF MATRICES
• Lois polynomes et lois formelles en théorie des modules

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