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- W122007033 abstract "We investigate functors between abelian categories having usomor-phic left and right adjoint functors (these functors are called Frobenius Functors). They are characterized for categories of modules and categories of comodules. We give some applications in coalgebras and Hopf modules. In particular, we introduce the notion of Frobenius homomorphism of coalgebras. The set of isomorphism classes of Frobenius functors between quite general Grothendieck categories is endowed with an abelian group structure. This gives a functorial notion of Grothendieck group which behaves satisfactorily." @default.
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- W122007033 date "1999-01-01" @default.
- W122007033 modified "2023-09-26" @default.
- W122007033 title "Frobenius functors: applications" @default.
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- W122007033 doi "https://doi.org/10.1080/00927879908826735" @default.
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