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Induction functors for the Doi-Koppinen unified Hopf modules. (English) Zbl 0843.16035
Facchini, Alberto (ed.) et al., Abelian groups and modules. Proceedings of the Padova conference, Padova, Italy, June 23-July 1, 1994. Dordrecht: Kluwer Academic Publishers. Math. Appl., Dordr. 343, 73-94 (1995).
The authors define an induction functor between categories of generalized Hopf modules, show that this functor has a right adjoint, and give necessary and sufficient conditions for this pair of functors to be inverse equivalences. These results extend similar results obtained by A. del Rio for categories of group-graded modules, and C. Menini for categories of modules graded by \(G\)-sets.
For the entire collection see [Zbl 0830.00031].

16W30 Hopf algebras (associative rings and algebras) (MSC2000)
16D90 Module categories in associative algebras
16W50 Graded rings and modules (associative rings and algebras)