Hochschild cohomology and ``smoothness in monoidal categories.

DOI10.1016/j.jpaa.2005.12.003zbMath1116.18004OpenAlexW2095472091MaRDI QIDQ856351

Dragoş Ştefan, Menini, Claudia, Alessandro Ardizzoni

Publication date: 7 December 2006

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2005.12.003

zbMATH Keywords

Hochschild cohomologymonoidal category

Mathematics Subject Classification ID

Related Items (23)

Some remarks on connected coalgebras ⋮ Examples of para-cocyclic objects induced by \(BD\)-laws ⋮ Solvability and nilpotency for algebraic supergroups ⋮ The Heyneman-Radford theorem for monoidal categories ⋮ Hochschild cohomology rings of tame Hecke algebras. ⋮ Separable extensions for crossed products over monoidal Hom-Hopf algebras ⋮ Preantipodes for dual quasi-bialgebras. ⋮ Milnor-Moore categories and monadic decomposition ⋮ Bosonization for dual quasi-bialgebras and preantipode. ⋮ Separable Functors and Formal Smoothness ⋮ INVERTIBLE BIMODULES, MIYASHITA ACTION IN MONOIDAL CATEGORIES AND AZUMAYA MONOIDS ⋮ Associated Graded Algebras and Coalgebras ⋮ Braided Bialgebras of Type One ⋮ Hochschild cohomology of ring objects in monoidal categories ⋮ Weak projections onto a braided Hopf algebra. ⋮ Galois Extensions for Coquasi-Hopf Algebras ⋮ Formally smooth bimodules. ⋮ Module-relative-Hochschild (co)homology of tensor products. ⋮ Separable \(K\)-linear categories ⋮ Cohomology for Bicomodules. Separable and Maschke functors ⋮ Hochschild cohomology rings of Temperley-Lieb algebras. ⋮ Wedge products and cotensor coalgebras in monoidal categories ⋮ A monoidal approach to splitting morphisms of bialgebras

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• Biinvertible actions of Hopf algebras
• Relative cyclic homology and the Bass conjecture
• Hereditary and formally smooth coalgebras.
• On the cohomology groups of an associative algebra
• Cotensor Coalgebras in Monoidal Categories
• Separable Functors and Formal Smoothness
• The wedderburn-malcev theorem for comodule algebras
• Algebra Extensions and Nonsingularity

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