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. ...
Caenepeel, S., Wang, Dingguo, Wang, Yanxin (2003)
International Journal of Mathematics and Mathematical Sciences
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Sommerhäuser, Yorck (1996)
The New York Journal of Mathematics [electronic only]
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Yang, S., Wang, D. (1998)
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Bulletin of the Belgian Mathematical Society - Simon Stevin
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Schauenburg, Peter (2000)
The New York Journal of Mathematics [electronic only]
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Beiträge zur Algebra und Geometrie
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Sebastian Burciu (2011)
Open Mathematics
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Two new results concerning complements in a semisimple Hopf algebra are proved. They extend some well-known results from group theory. The uniqueness of a Krull-Schmidt-Remak type decomposition is proved for semisimple completely reducible Hopf algebras.