The cofree irreducible Hopf algebra on a separable field extension

DOI10.1016/0021-8693(81)90234-9zbMath0464.16006OpenAlexW2047122087MaRDI QIDQ1153969

David E. Radford

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0021-8693(81)90234-9

zbMATH Keywords

prime idealsLie structureFrobenius structureGalois descentcofree irreducible Hopf algebrafinite-dimensional separable field extensions

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Rings with involution; Lie, Jordan and other nonassociative structures (16W10)

Related Items

On when a separable field extension in characteristic \(p>0\) is determined by its Frobenius structure. II, On when a separable field extension in characteristic \(p>0\) is determined by its Frobenius structure. I

Cites Work

• A natural ring basis for the shuffle algebra and an application to group schemes
• The Cofree Irreducible Hopf Algebra on an Algebra
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