Abelianizing the divided powers algebra of an algebra

DOI10.1016/0021-8693(89)90215-9zbMath0692.16004OpenAlexW2041510993MaRDI QIDQ583334

Dieter Ziplies

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0021-8693(89)90215-9

zbMATH Keywords

commutatorsdivided powers algebraalgebra of commutative trace monomialspolynomial lawsR-module homomorphisms

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 (4)

Cayley Hamilton algebras ⋮ Generalized symmetric functions and invariants of matrices ⋮ Norms and Cayley-Hamilton algebras ⋮ Reduced norms and abelianizing

Cites Work

• Unnamed Item
• A characterization of the norm of an Azumaya algebra of constant rank through the divided powers algebra of an algebra
• Generators for the divided powers algebra of an algebra and trace identities
• The invariant theory of \(n\times n\) matrices
• Divided powers and multiplicative polynomial laws
• Formen auf Moduln über kommutativen Ringen beliebiger Charakteristik.
• Lois polynomes et lois formelles en théorie des modules

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