Cleft extensions for a hopf algebra generated by a nearly primitive element

DOI10.1080/00927879408825086zbMath0809.16046OpenAlexW2014225597MaRDI QIDQ4304197

Akira Masuoka

Publication date: 8 September 1994

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

Full work available at URL: https://doi.org/10.1080/00927879408825086

zbMATH Keywords

relationsHopf algebrasroot of unityTaft algebrascyclotomic polynomialcleft extensionsgroup-like elementcrossed systems

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15)

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Cites Work

• Hopf-Galois extensions of algebras, the Miyashita-Ulbrich action, and Azumaya algebras
• A duality theorem for crossed products of Hopf algebras
• The diamond lemma for ring theory
• Equivalent crossed products for a hopf algebra
• The Order of the Antipode of Finite-dimensional Hopf Algebra