CLEFT EXTENSIONS FOR A CLASS OF POINTED HOPF ALGEBRAS CONSTRUCTED BY ORE EXTENSIONS

DOI10.1081/AGB-100002161zbMath0991.16034OpenAlexW1998707044MaRDI QIDQ2755362

Adriana Nenciu

Publication date: 3 September 2002

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

Full work available at URL: https://doi.org/10.1081/agb-100002161

zbMATH Keywords

crossed productsweak actionsprimitive elementscocyclesrecurrence relationspointed Hopf algebrascleft extensionsgrouplikes

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36)

Related Items

Examples of polynomial identities distinguishing the Galois objects over finite-dimensional Hopf algebras. ⋮ Duals of pointed Hopf algebras ⋮ Ore extensions of Hopf coquasigroups.

Cites Work

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• Crossed products and Galois extensions of Hopf algebras
• The diamond lemma for ring theory
• Constructing pointed Hopf algebras by Ore extensions
• QUASITRIANGULAR STRUCTURES FOR A CLASS OF POINTED HOPF ALGEBRAS CONSTRUCTED BY ORE EXTENSIONS
• The Group of Automorphisms of a Semisimple Hopf Algebra Over a Field of Characteristic 0 is Finite
• Cleft extensions for a hopf algebra generated by a nearly primitive element
• Quaternion algebras and hopf crossed products
• Clifford-type algebras as cleft extensions for some pointed hopf algebras