The category of partial Doi-Hopf modules and functors
Q.-G. Chen, D.-G. Wang (2013)
Rendiconti del Seminario Matematico della Università di Padova
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Q.-G. Chen, D.-G. Wang (2013)
Rendiconti del Seminario Matematico della Università di Padova
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Ulrich Koschorke, Brian Sanderson (1977)
Mathematica Scandinavica
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M. Koppinen, T. Neuvonen (1977)
Mathematica Scandinavica
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Ib Madsen, Nils A. Baas (1972)
Mathematica Scandinavica
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M.I. Jinnah (1975)
Mathematica Scandinavica
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Paul E. Bland (1974)
Mathematica Scandinavica
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Hans-Bjorn Foxby (1977)
Mathematica Scandinavica
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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.
Robert M. Fossum (1975)
Mathematica Scandinavica
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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. ...
Jack Ohm, David E. Rush (1972)
Mathematica Scandinavica
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Gunnar Sjödin (1973)
Mathematica Scandinavica
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Yuanyuan Chen, Zhongwei Wang, Liangyun Zhang (2016)
Colloquium Mathematicae
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We introduce the concept of relative Hom-Hopf modules and investigate their structure in a monoidal category . More particularly, the fundamental theorem for relative Hom-Hopf modules is proved under the assumption that the Hom-comodule algebra is cleft. Moreover, Maschke’s theorem for relative Hom-Hopf modules is established when there is a multiplicative total Hom-integral.