Regularity of involutory PI Hopf algebras.

DOI10.1016/S0021-8693(02)00142-4zbMath1065.16036MaRDI QIDQ1858238

James J. Zhang, Quan Shui Wu

Publication date: 12 February 2003

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

zbMATH Keywords

semisimple Hopf algebrasglobal dimensioninvolutory Hopf algebrasaffine Hopf algebrasPI Hopf algebrasregular Hopf algebras

Mathematics Subject Classification ID

Related Items (7)

Noetherian PI Hopf algebras are Gorenstein ⋮ Homological integral of Hopf algebras ⋮ Affine commutative-by-finite Hopf algebras ⋮ Noetherian Hopf algebra domains of Gelfand-Kirillov dimension two. ⋮ NOETHERIAN HOPF ALGEBRAS ⋮ Lower bounds of growth of Hopf algebras ⋮ Connected Hopf algebras of Gelfand-Kirillov dimension four

Cites Work

• Biinvertible actions of Hopf algebras
• Finite dimensional cosemisimple Hopf algebras in characteristic 0 are semisimple
• Representations of finite-dimensional Hopf algebras
• Homological aspects of Noetherian PI Hopf algebras and irreducible modules of maximal dimension
• Residue complexes over noncommutative rings.
• A correspondence between Hopf ideals and sub-Hopf algebras
• Semisimple Cosemisimple Hopf Algebras
• A Hopf Algebra Freeness Theorem
• Some properties of non-commutative regular graded rings
• Shorter Notes: A Commutative Noetherian Hopf Algebra Over a Field is Finitely Generated
• On Crossed Products of Hopf Algebras
• Noetherian PI Hopf algebras are Gorenstein
• Affine algebras of Gelfand-Kirillov dimension one are PI
• The Order of the Antipode of Finite-dimensional Hopf Algebra
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