The Predual Theorem to the Jacobson-Bourbaki Theorem

DOI10.2307/1998053zbMath0317.16007OpenAlexW4253290593MaRDI QIDQ4078189

Moss Eisenberg Sweedler

Publication date: 1975

Full work available at URL: https://doi.org/10.2307/1998053

Mathematics Subject Classification ID

Related Items (52)

A bicategorical approach to actions of monoidal categories ⋮ Spectral sequence and finitely presented dimension for weak Hopf-Galois extensions. ⋮ Bialgebroids, \(\times_A\)-bialgebras and duality ⋮ Morita theory for corings and cleft entwining structures. ⋮ Galois-type correspondences for Hopf-Galois extensions ⋮ Corings with decomposition and semiperfect corings. ⋮ Generators for comonoids and universal constructions ⋮ Generalizations of the Sweedler dual ⋮ Comatrix corings and Galois comodules over firm rings. ⋮ Fully coprime comodules and fully coprime corings. ⋮ Invertible weak entwining structures and weak \(C\)-cleft extensions ⋮ The Galois theory of matrix \(C\)-rings. ⋮ Duality for finite Hopf algebras explained by corings. ⋮ Constructing infinite comatrix corings from colimits. ⋮ Comonads and Galois corings. ⋮ Galois corings and a Jacobson-Bourbaki type correspondence. ⋮ A Hopf algebraic approach to the Picard-Vessiot theory ⋮ Complete separability ⋮ Semiseparable functors ⋮ The dg Leavitt algebra, singular Yoneda category and singularity category ⋮ Group corings. ⋮ Coinduction functor and simple comodules. ⋮ On the set of grouplikes of a coring. ⋮ From quasi‐hereditary algebras with exact Borel subalgebras to directed bocses ⋮ Naturally full functors in nature. ⋮ Homological dimension of weak Hopf-Galois extensions. ⋮ Bialgebroid actions on depth two extensions and duality. ⋮ Two-sided two-cosided Hopf modules and Doi-Hopf modules for quasi-Hopf algebras. ⋮ Adjoint monads and an isomorphism of the Kleisli categories ⋮ Monoidal ring and coring structures obtained from wreaths and cowreaths. ⋮ Co-Frobenius corings and adjoint functors. ⋮ The structure theorem for comodule algebras over Hopf algebroids. ⋮ On Hopf algebras with cocommutative coradicals ⋮ On the finite dual of a cocommutative Hopf algebroid. Application to linear differential matrix equations and Picard-Vessiot theory. ⋮ Endomorphism rings of modules and lattices of submodules ⋮ Picard groups of rings of coinvariants. ⋮ Finite depth and Jacobson-Bourbaki correspondence. ⋮ Picard-Vessiot extensions of Artinian simple module algebras. ⋮ The Dual Ring to a Coring with a Grouplike ⋮ Hopf Algebraic Approach to Picard-Vessiot Theory ⋮ Comodules and Corings ⋮ The differential Galois theory of strongly normal extensions ⋮ Weak corings ⋮ Cohomology for Bicomodules. Separable and Maschke functors ⋮ Coring categories and Villamayor-Zelinsky sequence for symmetric finite tensor categories ⋮ Corings over rings with local units ⋮ Almost split sequences for relatively projective modules ⋮ On the isomorphic classes of Hopf-Galois extensions with normal bases over a commutative ring ⋮ Cointegrations, relative cohomology for comodules, and coseparable corings ⋮ Galois theory for comatrix corings: Descent theory, Morita theory, Frobenius and separability properties ⋮ Doi-Koppinen modules for quantum groupoids. ⋮ Separable functors in group coring.

Cites Work

• Unnamed Item
• A Note on Division Rings
• Double Vector Spaces Over Division Rings
• Théorie de Galois pour les corps non commutatifs
• Linearly Compact Spaces and Double Vector Spaces Over Sfields
• An Extension of Galois Theory to Non-Normal and Non-Separable Fields

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