Calabi-Yau property under monoidal Morita-Takeuchi equivalence
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Publication:2398631
DOI10.2140/pjm.2017.290.481zbMath1405.16015arXiv1610.01881OpenAlexW2963218836MaRDI QIDQ2398631
Xingting Wang, Yinhuo Zhang, Xiao Lan Yu
Publication date: 18 August 2017
Published in: Pacific Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1610.01881
Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Hopf algebras and their applications (16T05)
Related Items (4)
On the monoidal invariance of the cohomological dimension of Hopf algebras ⋮ Calabi–Yau property of quantum groups of GL(2) representation type ⋮ GK dimension of some connected Hopf algebras ⋮ A note on the bijectivity of the antipode of a Hopf algebra and its applications
Cites Work
- Cleft extensions of Koszul twisted Calabi-Yau algebras
- Gerstenhaber-Schack and Hochschild cohomologies of Hopf algebras
- On quantum groups associated to non-Noetherian regular algebras of dimension 2
- The Manin Hopf algebra of a Koszul Artin-Schelter regular algebra is quasi-hereditary
- Skew Calabi-Yau algebras and homological identities.
- Dualising complexes and twisted Hochschild (co)homology for Noetherian Hopf algebras.
- Poincaré-Birkhoff-Witt deformations of Calabi-Yau algebras.
- Graded algebras of global dimension 3
- Existence theorems for dualizing complexes over non-commutative graded and filtered rings
- Homological aspects of Noetherian PI Hopf algebras and irreducible modules of maximal dimension
- Groups with homological duality generalizing Poincaré duality
- Calabi-Yau pointed Hopf algebras of finite Cartan type.
- Quantum groups of \(\mathrm{GL}(2)\) representation type.
- The quantum group of a nondegenerate bilinear form.
- Integrals for Hopf algebras
- Hopf–Galois objects of Calabi–Yau Hopf algebras
- On Crossed Products of Hopf Algebras
- Non-noetherian regular rings of dimension 2
- The Representation Category of the Quantum Group of a Non-degenerate Bilinear Form
- Finite quantum groups over abelian groups of prime exponent
- Braided bialgebras and quadratic blalgebras
- Hopf bigalois extensions
- A characterization of quantum groups
- Hochschild homology of Hopf algebras and free Yetter–Drinfeld resolutions of the counit
- Homological properties of quantized coordinate rings of semisimple groups
- Homological integral of Hopf algebras
- Hopf-Galois objects and cogroupoids
- Introduction to quantum groups
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