\(\sqrt{\text{Morita}}\) theory: Formal ring laws and monoidal equivalences of categories of bimodules

DOI10.2969/jmsj/03920301zbMath0619.16032OpenAlexW2001913699WikidataQ114845159 ScholiaQ114845159MaRDI QIDQ1089420

Mitsuhiro Takeuchi

Publication date: 1987

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/03920301

zbMATH Keywords

bimodulestensor productsAzumaya algebrasequivalences of categoriescorings2-cocyclesmonoidal equivalencescoalgebraic equivalencesinvertible formal ring laws

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05)

Related Items (13)

On the Classification of Galois Objects for Finite Groups ⋮ Integral theory for Hopf algebroids. ⋮ Morita base change in Hopf-cyclic (co)homology. ⋮ Duality for multimodules ⋮ Monads of oplax actions are skew monoidales ⋮ The monoidal Eilenberg-Moore construction and bialgebroids ⋮ Toward differentiation and integration between Hopf algebroids and Lie algebroids ⋮ Abelian and non-Abelian second cohomologies of quantized enveloping algebras ⋮ Coalgebroids in monoidal bicategories and their comodules ⋮ Hopf Algebroids ⋮ Comodules and Corings ⋮ Tannaka-Krein duality for Hopf algebroids ⋮ The Dual Rings of anR-Coring Revisited

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