Normal smash products.
Yang, S., Wang, D. (1998)
Portugaliae Mathematica
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Yang, S., Wang, D. (1998)
Portugaliae Mathematica
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Caenepeel, S., Wang, Dingguo, Wang, Yanxin (2003)
International Journal of Mathematics and Mathematical Sciences
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Guédénon, Thomas (2001)
Beiträge zur Algebra und Geometrie
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Tomasz Brzeziński (2003)
Banach Center Publications
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Characteristic properties of corings with a grouplike element are analysed. Associated differential graded rings are studied. A correspondence between categories of comodules and flat connections is established. A generalisation of the Cuntz-Quillen theorem relating existence of connections in a module to projectivity of this module is proven.
J. N. Alonso Alvarez, J. M. Fernández Vilaboa, R. González Rodríguez, E. Villanueva Novoa (2002)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Caenepeel, S., Dăscălescu, S., Militaru, G., Panaite, F. (1997)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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José N. Alonso Alvarez, José Manuel Fernández Vilaboa, Ramón González Rodríguez (2001)
Publicacions Matemàtiques
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Let τ be an invertible skew pairing on (B,H) where B and H are Hopf algebras in a symmetric monoidal category C with (co)equalizers. Assume that H is quasitriangular. Then we obtain a new algebra structure such that B is a Hopf algebra in the braided category γD and there exists a Hopf algebra isomorphism w: B ∞ H → B [×] H in C, where B ∞ H is a Hopf algebra with (co)algebra structure the smash (co)product and B [×] H is the Hopf algebra defined by Doi and Takeuchi. ...
Schauenburg, Peter (2000)
The New York Journal of Mathematics [electronic only]
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Moss E. Sweedler (1974)
Publications Mathématiques de l'IHÉS
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Yuanyuan Chen, Liangyun Zhang (2016)
Colloquium Mathematicae
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Hopf-Galois extensions for monoidal Hom-Hopf algebras are investigated. As the main result, Schneider's affineness theorem in the case of monoidal Hom-Hopf algebras is shown in terms of total integrals and Hopf-Galois extensions. In addition, we obtain an affineness criterion for relative Hom-Hopf modules which is associated with faithfully flat Hopf-Galois extensions of monoidal Hom-Hopf algebras.
Andrzej Tyc (1998)
Colloquium Mathematicae
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Sommerhäuser, Yorck (1996)
The New York Journal of Mathematics [electronic only]
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Palmieri, John H. (1999)
Annals of Mathematics. Second Series
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