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- W2121191324 abstract "In this paper, we provide necessary and sufficient conditions for a cleft right H-comodule algebra (A, ϱ A ) over a Hopf quasigroup H to be isomorphic as an algebra to the crossed product A H ♯ σ A H H, where A H is the coinvariants subalgebra of A and σ A H is a morphism between H ⊗ H and A H . As a consequence, we obtain the corresponding version in the nonassociative setting of the result given by Blattner, Cohen and Montgomery for projections of Hopf algebras with coalgebra splitting. Concrete examples satisfying the obtained conditions are provided." @default.
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- W2121191324 date "2015-10-29" @default.
- W2121191324 modified "2023-09-26" @default.
- W2121191324 title "Cleft comodules over Hopf quasigroups" @default.
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- W2121191324 doi "https://doi.org/10.1142/s0219199715500078" @default.
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