Separable functors in graded rings
\textit{C. Năstăsescu, M. Van den Bergh} and \textit{F. Van Oystaeyen} introduced the concept of separable functor [J. Algebra 123, No. 2, 397-413 (1989; Zbl 0673.16026)]. The authors obtain characterizations of separable adjoint functors in Grothendieck categories with projective generators. As particular cases the separability of the restriction of scalars, induction and coinduction functors associated to a graded homomorphism of group-graded rings is investigated. In the last section the relation between the separability of the preceding graded functors and the ungraded ones is considered.
Grothendieck categories with projective generators
scientific article; zbMATH DE number 1308170