Separable Functors and Formal Smoothness

DOI10.1017/is007011015jkt012zbMath1167.16032arXivmath/0407095OpenAlexW2951167576MaRDI QIDQ3527587

Alessandro Ardizzoni

Publication date: 29 September 2008

Published in: Journal of K-theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0407095

zbMATH Keywords

monoidal categoriesHopf algebrascoalgebrasintegralsformally smooth algebrasseparable functorsseparable algebrasalgebra morphisms

Mathematics Subject Classification ID

Related Items (12)

Qurves and quivers ⋮ Hochschild cohomology and ``smoothness in monoidal categories. ⋮ Unnamed Item ⋮ Associated Graded Algebras and Coalgebras ⋮ Weak projections onto a braided Hopf algebra. ⋮ Formally smooth bimodules. ⋮ Module-relative-Hochschild (co)homology of tensor products. ⋮ Frobenius and separable functors for the category of entwined modules over cowreaths. II: applications ⋮ Corrigendum to ``A Schneider type theorem for Hopf algebroids. ⋮ Wedge products and cotensor coalgebras in monoidal categories ⋮ UNIVERSAL ENVELOPING ALGEBRAS OF PBW TYPE ⋮ A monoidal approach to splitting morphisms of bialgebras

Cites Work

• Unnamed Item
• The structure of Hopf algebras with a projection
• Hochschild cohomology and ``smoothness in monoidal categories.
• Separable functors applied to graded rings
• Hopf modules and Yetter-Drinfel'd modules
• The structure of Hopf algebras with a weak projection
• Qurves and quivers
• Hereditary and formally smooth coalgebras.
• Unipotent algebraic affine supergroups and nilpotent Lie superalgebras.
• Separable functors revisited
• A monoidal approach to splitting morphisms of bialgebras
• The wedderburn-malcev theorem for comodule algebras
• A generalization of hopf crossed products
• Hereditary coalgebras

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