Noetherian Hopf algebras

zbMath1142.16025arXiv0709.2334MaRDI QIDQ5441278

Kenneth A. Brown

Publication date: 11 February 2008

Full work available at URL: https://arxiv.org/abs/0709.2334

zbMATH Keywords

Hopf algebrasdualizing complexesantipodesNoetherian algebrasaffine algebrashomological integralsAS-Gorenstein algebras

Mathematics Subject Classification ID

Syzygies, resolutions, complexes in associative algebras (16E05) Homological dimension in associative algebras (16E10) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (16)

Flatness over PI coideal subalgebras ⋮ Survey on Hopf algebras of GK-dimension 1 and 2 ⋮ Affine commutative-by-finite Hopf algebras ⋮ On Nichols algebras of infinite rank with finite Gelfand-Kirillov dimension ⋮ Skew Calabi-Yau algebras and homological identities. ⋮ Noetherian Hopf algebra domains of Gelfand-Kirillov dimension two. ⋮ Ambiskew Hopf algebras. ⋮ Calabi-Yau pointed Hopf algebras of finite Cartan type. ⋮ ON GORENSTEINNESS OF HOPF MODULE ALGEBRAS ⋮ On the bijectivity of the antipode and serial quantum groups ⋮ A note on the bijectivity of the antipode of a Hopf algebra and its applications ⋮ A proof of the Brown-Goodearl conjecture for module-finite weak Hopf algebras ⋮ Connected (graded) Hopf algebras ⋮ Lower bounds of growth of Hopf algebras ⋮ Connected Hopf algebras of Gelfand-Kirillov dimension four ⋮ On finite GK-dimensional Nichols algebras over abelian groups

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